Introduction
In search of a common model for typical and atypical development
Atypical development involves several neurodevelopmental disorders, such as autism spectrum disorder (ASD), attention-deficit and hyperactivity disorder (ADHD) and specific learning disabilities, which impede understanding, learning, and social relations. A common theory integrating typical and atypical development would improve our understanding of developmental issues (Cicchetti & Cohen, Reference Cicchetti, Cohen, Cicchetti and Cohen1995; Cichetti & Tucker, Reference Cicchetti and Tucker1994; Karmiloff-Smith, Reference Karmiloff-Smith1998, Reference Karmiloff-Smith2015; Thomas & Karmiloff-Smith, Reference Thomas, Karmiloff-Smith and Goswami2002). On the one hand, drawing on a theory of normal mental organization and development may direct researchers of psychopathology to map the underlying causes and developmental course of different psychopathological conditions more precisely. On the other hand, precisely mapping the psychopathology of different mental conditions may highlight the boundaries of different cognitive processes (Cicchetti & Cohen, Reference Cicchetti, Cohen, Cicchetti and Cohen1995). So far, however, theories of atypical development are fragmented, drawing on theories of typical development in a specific domain. For instance, a lack of a Theory of Mind was considered to cause autism (Baron-Cohen, Reference Baron-Cohen2000). These theories lack a comprehensive frame that would place abnormalities under the perspective of the architecture and development of the mind and specify the strengths and weaknesses of each condition relative to the others. This paper presents a theory that comprehensively integrates developmental, cognitive, and psychometric research on the human mind (Reference Demetriou, Makris, Kazi, Spanoudis and Shayer2018a; Demetriou & Spanoudis, Reference Demetriou and Spanoudis2018, Demetriou et al., Reference Demetriou, Spanoudis, Kazi, Mouyi, Žebec, Kazali, Golino, Bakracevic and Shayer2017, Reference Demetriou, Makris, Kazi, Spanoudis, Shayer and Kazali2018b, Reference Demetriou, Spanoudis, Christou, Greiff, Makris, Vainikainen, Golino and Gonida2023) and extends it to atypical development, aiming to provide a common model for understanding the variability in development.
This theory represents the human mind as a network of modular and transmodular systems carrying different tasks of understanding and problem-solving. Modular systems serve specific purposes in interaction with the environment. For instance, perceptual systems specialize in processing specific physical information in the environment, abstracting specific patterns of relations in physical stimuli, such as color, size, and position. Central systems integrate over modular systems to capture stability amidst variation, fill in lags in information, plan action, and evaluate information and decisions. Overall functioning may be deficient if the contribution of any modular or transmodular system relative to a goal is deficient. Thus, each system in the architecture of the mind may be a dimension of typical or atypical development depending on its attainment level (Demetriou & Spanoudis, Reference Demetriou and Spanoudis2018; Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis and Shayer2018a; Reference Demetriou, Makris, Kazi, Spanoudis, Shayer and Kazali2018b, Reference Demetriou, Spanoudis, Greiff, Panaoura, Vaijnikainen, Kazi and Makris2024).
The paper comprises three parts. First, we outline the theory for typical development. Second, we discuss atypical development, showing how neurodevelopmental disorders emerge from deficiencies in specific dimensions of typical development. Finally, we discuss clinical and educational implications.
Architecture of the typical mind
The mind is organized hierarchically. Specialized processes are grounded in perception, dealing with different types of relations in the environment. General processes integrate information within and across specialized systems. This architecture has been extensively tested in psychometric and developmental research (Demetriou et al., Reference Demetriou, Efklides and Platsidou1993, Reference Demetriou, Christou, Spanoudis and Platsidou2002, Reference Demetriou, Makris, Kazi, Spanoudis and Shayer2018a, Reference Demetriou, Spanoudis, Christou, Greiff, Makris, Vainikainen, Golino and Gonida2023, Reference Demetriou, Spanoudis, Greiff, Panaoura, Vaijnikainen, Kazi and Makris2024), and it aligns with current research on brain organization (Spanoudis & Demetriou, Reference Spanoudis and Demetriou2020). This architecture overlaps with the currently dominant psychometric model of the human mind, the Cattell–Horn–Carroll model, sharing the hierarchical conception of the mind. Both models assume the combined use of task-specific, domain-specific, and general processes in understanding (Carroll, Reference Carroll1993; Haier, Reference Haier2017; Jensen, Reference Jensen1998).
Specialized problem-solving domains
Six specialized domains of thought are described: 1) Categorical thought forms categories about entities drawing on their similarities and differences, allowing mental economy in the organization and use of information. 2) Spatial thought processes the placement of objects in space relative to the thinker and one another, allowing efficient action. 3) Causal thought processes how changes in objects or events produce changes in other objects and events. 4) Quantitative thought processes numerosity and magnitudes, allowing precision in processing relations. 5) Social thought processes relationships with other individuals, dealing with actions, emotions, thoughts, intentions, and beliefs. 6) Language processes patterns of sound, allowing communication between individuals.
Specialized domains involve several types of processes: 1) Core processes rooted in perception abstract information from physical aspects of the environment, reflecting their current appearance: for example, visual similarity (e.g., color); spatial arrangement (e.g. further than, next to); magnitude or numerosity (e.g., subitization of sets up to 3–4 elements); transfer of force across objects (e.g., displacement because of physical contact); emotions or beliefs (e.g., facial expressions of mental states); words (e.g., sound patterns indicating objects), in the six domains, respectively. 2) Mental operations associated with each domain include sorting, mental rotation, arithmetic operations, experimentation, theory of mind, reading, and so on. Domain-specific operations emerge from interactions between core processes and general integration and inferential processes. For example, sorting organizes objects according to dimensions of perceptual similarity; arithmetic operations relate magnitudes; reading organizes visual signs according to word-relevant sound patterns. 3) Knowledge, beliefs, and skills crystallized over the years in each domain. Table 1 illustrates how processes in each domain relate to networks in the brain.
Table 1. Brain areas and networks associated with cognitive domains, processes, and networks in neurodevelopmental disorders
Note. The dorsolateral prefrontal cortex (dlPFC) is involved in executive decisions; the anterior cingulate cortex (ACC) is involved in attention control; the intraparietal sulcus (IPS) serves as a hub of activity or focus of attention; the basal ganglia (BG) is a subcortical region involved in channeling attention; and the hippocampus (HP) is a key structure among subcortical regions involved in consolidating new explicit memories; DVS = dorsal visual stream; PVC = primary visual cortex; ITE = inferior temporal cortex; PP = posterior parietal cortex; DM (visual area) = dorsomedial visual area V3B; KO = kinetic occipital region; HP = hippocampus; Er= entorhinal cortex; DMN = default mode network; OT = occipitotemporal; OPa = occipitoparietal; VISa = visual association cortex; ANG = angular gyrus; PaC = parietal cortex; IT = inferotemporal cortex; IPS = intraparietal sulcus; PFC = prefrontal cortex; OcC = occipital cortex; FFG = fusiform gyrus; VAN = ventral attention network; pMFC = posterior medial frontal cortex; FFA = fusiform face area; IOG = inferior occipital gyrus; TS = temporal sulcus; OFC = orbitofrontal cortex; AMYG = amygdala; INS = insula; MNS = mirror neuron system; AUDp = primary auditory cortex; STG = superior temporal gyrus; lpFrL = left posterior frontal lobe; VWFA = visual word form area; IFG = inferior frontal gyrus; AF = arcuate fasciculus; MTL = middle temporal lobe; CEN = central executive network; TPa = tempoparietal; SN = salience network; LPFC = lateral prefrontal cortex; TPJ = temporoparietal junction; VFrC = ventral frontal cortex; CR = cerebellum; FSN = frontostriatal network; IPL = inferior parietal lobe; PFCrl = rostrolateral prefrontal cortex; PFCvl = ventrolateral prefrontal cortex.
The emergence of mental operations from core operations in domains is symbolically biased toward symbol systems conducive to representing object properties and relations. Symbol systems may be personal and subjective, such as mental images, or collective and arbitrary, such as writing or mathematical symbolism. Symbol systems preserve object properties and relations to support thinking. Personal symbols are grounded in experience, which directly signifies meaning relative to object properties or relations, such as color similarity across objects, spatial arrangement in spatial reasoning, or magnitude relations in quantitative reasoning. Arbitrary symbol systems are learned by associating personal symbols that ground meaning in experience. Writing must be mapped onto oral language; number names must be mapped onto magnitude representations. These systems often facilitate the representation and processing of specific objects and relations more precisely than personal symbols. Mathematical symbolism is far more precise and flexible in representing quantitative relations than mental images (Demetriou et al., Reference Demetriou, Efklides and Platsidou1993). We show below that mastering arbitrary symbol systems may be a significant source of learning difficulties.
Central mechanisms
Relational integration
A cross-modal comparator/relational mechanism integrates properties across objects and events, searching for stability across variations in time and space, registering, representing, and tagging them for future use. In its simplest form, it is present in perception as a gain control mechanism involving variation, search, and integration processes (Buzsaky, Reference Buzsaki2019). Saccadic eye movements, head movements or multimodal perception produce multiple object representations which must be integrated in sake of object identification and recognition (Nanay, Reference Nanay2018). Gain control mechanisms coordinate representations across spaces abstracting object invariance (Ferguson & Cardin, Reference Ferguson and Cardin2020). Cognizance enables awareness of the objects of mental activity and mental processes (Dehaene, Reference Dehaene2014; Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis, Shayer and Kazali2018b; Seth, Reference Seth2021). It re-enacts and re-processes past experiences to compare and evaluate across experiences to optimize current or future understanding or action. Thus, alignment and abstraction are partly stimulus or association and partly cognizance-driven, operating as an integrated mechanism (AACog) to capture, interpret, and evaluate relations according to goals (Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis, Shayer and Kazali2018b). Metacognition (Efklides, Reference Efklides2008), Theory of Mind (Wellman, Reference Wellman2014), reflection (Dehaene, Reference Dehaene2014), and self-concepts (Demetriou, Reference Demetriou, Boekaerts, Pintrich and Zeidner2000; Harter, Reference Harter2012) are products of cognizance.
Executive functions
Executive functions (EFs) are rooted in the gain control mechanism above. Attention control is internalized gain control using relational and cognizance processes for goal-relevant selection of actions or mental processing (Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis and Shayer2018a). Working memory (WM) preserves products of AACog operations in time to allow integration with current online or remembered information. EF are the strategic aspect of AACog because they enable focusing on stimuli or representations, inhibit attention to stimuli irrelevant to a goal, shift between them (Diamond, Reference Diamond2013; Zelazo, Reference Zelazo2015), and maintain information for processing.
Inference
Forms of inference, inductive, analogical, and deductive reasoning, encode rules for the operation of AACog and handling its products. These rules constrain how relations may be searched, abstracted, interpreted, and evaluated. Integration across processes in understanding and problem-solving contributes to the development of reasoning, guiding how representations must be combined in chains of valid inference. The description of this development is beyond the present concerns. It suffices that inference gradually encodes statistical regularities in the environment into rule systems, optimizing alignment and abstraction. Cognizance is critical because it renders reasoning an object of reflection, enabling explicit rule formation and selection as needed (Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis, Shayer and Kazali2018b). Mental models supporting inference (Johnson-Laird & Khemlani, Reference Johnson-Laird, Khemlani and Ross2013), rationality schemes carrying cultural standards for inference (Stanovich, Reference Stanovich2011), and formalized reasoning rules (Moshman, Reference Moshman2011) are complementary frames for inference suffering in neurodevelopmental disorders for the reasons discussed below.
Learning and development
Developmental priorities and milestones
Learning enables organisms to capitalize on experience to deal with novelty. It is a cumulative process enhancing knowledge, skills, and problem-solving processes in each domain and the general systems. In domains, learning enhances and refines domain-relevant concepts and skills. In the general systems, learning improves AACog processes, rendering them increasingly goal-based, systematic, flexible, and exhaustive. Abstraction becomes inclusive and refined, building increasingly intertwined hierarchies of concepts and rules. Cognizance becomes increasingly differentiated and accurate, providing the knowledge base for selecting goal-relevant processes. Reasoning becomes increasingly precise in generalizing knowledge and experience, improving the predictive power of inductive, analogical, or deduction rules.
In psychometric theories of intelligence, learning is associated with general cognitive ability, g, which defines the upper level of complexity and abstraction that can be reached across processes. IQ is an accurate index of g (Jensen, Reference Jensen1998). In cognitive developmental theory, learning is associated with developmental level, akin to psychometric theory. It is assumed that ascending the levels of cognitive development enhances the scope and complexity of concepts that can be learned. Learning and development occur at all fronts involved in the architecture above. As learning accumulates across domains, g is reformed to integrate higher levels of control of mental processing (Demetriou et al., Reference Demetriou, Spanoudis, Greiff, Panaoura, Vaijnikainen, Kazi and Makris2024).
In infancy, g is episodic, reflecting behavioral interactions with persons and objects. The mental space of g prioritizes aligning perceptions and actions for the sake of episodic control. Thus, the accuracy of gross and refined motor movements is a good index of g in infancy. From 2 to 6 years in early childhood, g is marked by attention control and representational and linguistic awareness. This is reflected in the fast learning of symbolic systems, such as language, number representations, drawing, and other relevant systems. In later childhood, from 7 to 11 years, controlling inference, a primary connector of representations, is the dominant priority. Thus, indicators of representational interlinking, such as inductive reasoning, awareness of inferential processes, and WM, mark g in this period. In adolescence, from 12 to 17 years, a significant priority is mastering processes that allow one to evaluate knowledge and decisions for cohesion, validity, and truth. This is often expressed in mastering the complex aspects of specific domains, such as mathematics (Demetriou et al., Reference Demetriou, Makris, Kazi, Spanoudis and Shayer2018a, Reference Demetriou, Spanoudis, Christou, Greiff, Makris, Vainikainen, Golino and Gonida2023).
Interfacing typical and atypical development
Learning in specific domains is a function of the domains involved, the state of the central systems, and developmental readiness relative to the demands of the tasks to be learned. At the entry level, learning novel concepts and skills depends on the representational readiness of the domain involved to learn necessary symbols to allow AACog and inferential processes to construct necessary relations. This is a two-faced process.
On the one hand, it requires a minimum level of precision in the fundamental information delivered by domain-specific core processes, such as visual and/or acoustic object descriptors, perception of small numbers, cause–effect pairings, etc. Precision in these recordings is necessary for grounding arbitrary symbols, such as letters or number names, into meaningful mental units that would be further interrelated. Learning to read requires representing visual and sound symbols for letters and words (Papadopoulos et al., Reference Papadopoulos, Spanoudis and Georgiou2016). Learning arithmetic operations requires representing magnitudes and numbers, which can be mentally operated on (Koponen et al., Reference Koponen, Salmi, Eklund and Aro2013). Learning social skills and conventions requires representing one’s and others’ mental states, indexing attitudes, beliefs, and emotions driving social interactions. On the other hand, minimum efficiency is required in inter-relating fundamental core representations with symbol systems to build the network of relations and related rules at the task.
If any of these requirements fail, learning and development stall. In the first case, new symbols would not be appropriately learned in the domain concerned, impeding learning in this domain. Noticeably, domain-specific representational deficiencies together with relatively intact general relational processes would cause modular defects but not necessarily general defects because general processes may still be practiced in intact domains. Deficiencies in sound perception or script representation would impair learning to read (Franceschini et al., Reference Franceschini, Gori, Ruffino, Pedrolli and Facoetti2012). Deficiencies in magnitude representation would impair learning arithmetic (Butterworth, Reference Butterworth2010). Self-directed attention deficits would impair goal focus (Nigg, Reference Nigg2001). Deficiencies in awareness would handicap attention-guided rule induction (Demetriou et al., Reference Demetriou, Golino, Spanoudis, Maris and Greiff2021; Spanoudis & Demetriou, Reference Spanoudis and Demetriou2020). Deficiencies in understanding others’ representations would impair interpersonal interactions (Baron-Cohen, Reference Baron-Cohen2020). In the second case, defects in central processes, such as relational integration, may cause generalized learning problems because hierarchies of relations would not be constructed even if entry-level representations are intact. However, there may be cases, such as the idiot savants, where the coexistence of an impeccable domain with severe central deficiencies may result in impressive performance in this specific domain.
The model presented here highlights initial background risk factors for neurodevelopmental disorders both functionally and developmentally. Each domain-specific or general dimension is a developmental pathway where development may turn atypical when deficiencies exceed a certain level, even before actual pathological conditions manifest themselves (Cicchetti & Cohen, Reference Cicchetti, Cohen, Cicchetti and Cohen1995). Atypical development may be manifested at any developmental turning point when development falls short of the priorities of the phase concerned and the demands imposed by the environment. For instance, dyslexia or dyscalculia are specialized conditions emerging when deficiencies in core language-related or magnitude-related representations do not meet the demands of symbol learning imposed by school for learning to read or arithmetic. Autism emerges from deficiencies in repressing social cues and awareness of representations (Ball & Karmiloff-Smith, Reference Ball, Karmiloff-Smith, van Herwegen and Riby2014; Pennington et al., Reference Pennington, McGrath and Peterson2019; Westermann & Mareschal, Reference Westermann and Mareschal2002). ADHD emerges from deficiencies in EFs. Deficiencies in general relational and integration processes may impede rule-based thought, even if representational capacities are intact across the board. These deficiencies may be more pervasive and long-lasting, as in the case of delayed thought development in Down syndrome. Figure 1 illustrates how different neurodevelopmental disorders relate to general and domain-specific mechanisms.
Figure 1. A schematic representation of the causal pathways underlying the neurodevelopmental disability explanatory model. Note. Plus sign (+) depicts additive effects. Bidirectional arrows depict the dynamic interplay among triangles (domains) and ovals (latent abilities).
The atypical mind
Some genetic conditions, such as Down or Williams syndrome (WS), are connected to specific genes that affect central mechanisms associated with brain organization and functioning, causing atypical physical, cognitive, and socio-emotional development (e.g., Cicchetti & Beeghly, Reference Cicchetti and Beedghly1990; Donnai & Karmiloff-Smith, Reference Donnai and Karmiloff-Smith2000; Korbel et al., Reference Korbel, Tirosh-Wagner, Urban, Chen, Kasowski, Dai, Grubert, Erdman, Gao, Lange, Sobel, Barlow, Aylsworth, Carpenter, Clark, Cohen, Doran, Falik-Zaccai, Lewin and Korenberg2009; Paterson, Reference Patterson2009). Other genetic conditions, such as dyslexia, exert specialized effects, affecting domain-specific functions, such as language (Schumacher et al., Reference Schumacher, Hoffmann, Schmäl, Schulte-Körne and Nöthen2007; van Bergen et al., Reference van Bergen, de Zeeuw, Hart, Boomsma, de Geus and Kan2023). Also, specific learning deficits may be associated with anomalies in particular brain networks associated with each deficit, although the direction of causality is often unclear. These networks are indicated in Table 1. The environment is crucial because it contextualizes genetic plans, channeling how they may be implemented and expressed in the brain (Ball et al., Reference Ball, Malpas, Genc, Efron, Sciberras, Anderson, Nicholson and Silk2019).
We discuss four neurodevelopmental described in DSM-V (Straussner, Reference Straussner2013): two related to specific domains, that is, specific reading difficulties or dyslexia and dyscalculia and three involving more general or pervasive processes, such as ADHD, ASD, and Down syndrome. Two other disorders, namely, WS and aphantasia, are also discussed to complete the argument that there are conditions related to all aspects of mental architecture. We show that each disorder is associated with a specific pattern of deficiencies in brain networks and functions, which are known to be associated with networks and operations serving the various systems of the mental architecture described above (Table 1).
Developmental difficulties in specific domains
Around 20% of children in early primary school struggle with reading and writing, and approximately 5%–10% of them have dyslexia. Also, ∼5% of children face challenges in learning arithmetic and may develop dyscalculia (Reigosa-Crespo et al., Reference Reigosa-Crespo, Valdés-Sosa, Butterworth, Estévez, Rodríguez, Santos, Torres, Suárez and Lage2012). These two conditions are distinct and relate to deficiencies in the perception and representation of information in each domain, although commonalities may exist in some individuals, ranging from ∼ 17%–26%. These may often relate to common underlying genetic and environmental factors rather than direct causal interactions (van Bergen, Reference van Bergen, de Zeeuw, Hart, Boomsma, de Geus and Kan2023).
Language difficulties and dyslexia
Developmental language disorder (DLD) and dyslexia are distinct conditions that involve difficulties with language processing (Spanoudis et al., Reference Spanoudis, Papadopoulos and Spyrou2019). DLD mainly affects oral language skills such as speaking and understanding, while dyslexia predominantly affects reading and written language abilities. Both conditions share similarities, such as phonological awareness and language comprehension deficits. However, dyslexia involves difficulties decoding written words and spelling, while DLD may cause broader communication difficulties beyond reading and writing. Both conditions can significantly impact academic performance and social interactions (Carroll & Snowling, Reference Carroll and Snowling2004). The following section focuses on these primary conditions and discusses them in the abovementioned theory.
DLD affects core language and communication skills, such as syntax, semantics, or phonology. DLD arises from an impairment in learning language that affects both expressive and receptive systems (Leonard, Reference Leonard2014). Children with DLD have difficulty processing phonological information (Munson et al., Reference Munson, Kurtz and Windsor2005) and struggle with acquiring a mental lexicon (Moyle et al., Reference Moyle, Ellis Weismer, Evans and Lindstrom2007), using morpho-syntactic information (Rice et al., Reference Rice, Wexler, Marquis and Hershberger2000), understanding pragmatics (Bishop & Norbury, Reference Bishop and Norbury2002), retrieving text (Norbury & Bishop, Reference Norbury and Bishop2003), and understanding sentence structure and semantics (Bishop & Norbury, Reference Bishop and Norbury2002; Montgomery, Reference Montgomery2004). Language impairments have high variability, which justifies classifying DLD children into separate subtypes related to specific causes (Marinis, Reference Marinis2015).
Dyslexia is more specific, impairing reading and related skills. The primary causes of dyslexia are phonological, naming speed (Papadopoulos et al., Reference Papadopoulos, Georgiou and Kendeou2009), and WM deficits (Vellutino et al., Reference Vellutino, Fletcher, Snowling and Scanlon2004), which affect reading ability (O’Brien et al., Reference O’Brien, Wolf and Lovett2012), spelling, or both (Moll & Landerl, Reference Moll and Landerl2009; Papadopoulos et al., Reference Papadopoulos, Csépe, Aro, Caravolas, Diakidoy and Olive2021). Some individuals with dyslexia may exhibit deficits in processing speed, which can impact their ability to complete tasks efficiently (Georgiou et al., Reference Georgiou, Parrila and Papadopoulos2008; Swanson, Reference Swanson, Papadopoulos, Parrila and Kirby2015).
Reading and understanding grammar and syntax requires children to recognize recurring sound patterns, keep them in memory, and match them to corresponding representations already available. They must also identify similarities and differences between word forms, such as the everyday use of “-ed” to denote past tense (Dehaene et al., Reference Dehaene, Nakamura, Jobert, Kuroki, Ogawa and Cohen2010). In reading difficulties, the phonological system does not have the necessary resolution for recognizing letters, composing words, or naming them quickly. This is due to a deficiency in the reading network, which includes the left posterior superior temporal gyrus (pSTG), responsible for phonological processing, the left occipitotemporal cortex (including the visual word form area, VWFA) for orthographic processing, and the left inferior frontal gyrus (IFG) for articulatory processing and WM. Brain activation in individuals with dyslexia appears more strongly manifested over the left frontocentral and center-parietal regions (Christoforou et al., Reference Christoforou, Papadopoulos and Theodorou2022, Reference Christoforou, Theodorou, Fella and Papadopoulos2023). Individuals with dyslexia exhibit reduced activation in these regions, contributing to difficulties in phonological processing, word recognition, and fluency (Dębska et al., Reference Dębska, Banfi, Chyl, Dzięgiel-Fivet, Kacprzak, Łuniewska, Plewko, Grabowska, Landerl and Jednoróg2021; Turker et al., Reference Turker, Kuhnke, Jiang and Hartwigsen2023) (Table 1).
Dyscalculia
It was noted that circa ∼ 5% of children having trouble in learning arithmetic may develop dyscalculia (Reigosa-Crespo et al., Reference Reigosa-Crespo, Valdés-Sosa, Butterworth, Estévez, Rodríguez, Santos, Torres, Suárez and Lage2012). Dyscalculia makes it challenging to manipulate mathematical symbols, recall number-related facts and rules, and retrieve arithmetic data (Cardenas et al., Reference Cárdenas, Silva-Pereyra, Prieto-Corona, Castro-Chavira and Fernández2021; Dehaene, Reference Dehaene2011; Reeve & gray, Reference Reeve, Gray and Chinn2014). These difficulties reflect deficits in magnitude comparison, counting strategies, identification of numbers, and arithmetic procedures. Butterworth (Reference Butterworth and Campbell2005) proposed the “defective number module hypothesis”, implying that dyscalculia is caused by difficulty in coding numerosity, that is, the process of linking symbols to representations of quantities: represent number “one” as a quantity of one, “two” as a quantity of two, and so on. A deficit in coding numerosity makes it hard to learn counting because counting words would not be linked to their corresponding representations. As a result, children with dyscalculia cannot construct holistic number schemes enabling the processing of quantitative relations, such as the Approximate Number System, which allows intuitive estimations of quantities and the Mental Number Line, which facilitates comparisons between numbers and magnitudes (Mussolin et al., Reference Mussolin, Mejias and Noël2010).
Challenges and manifestations vary among individuals with dyscalculia; the weak representation of numerical magnitude limits some; others have trouble accessing and manipulating numerical quantities (Price et al., Reference Price, Holloway, Räsänen, Vesterinen and Ansari2007). Additionally, children with dyscalculia have difficulty learning Arabic numerals, number words, and their meanings (Chu et al., Reference Chu, VanMarle and Geary2016). This is manifested in difficulty with simple tasks such as counting small sets up to 9 elements, comparing small magnitudes, such as 5 to 7, or performing simple mental arithmetic by adding or subtracting numbers from 1 to 9. These difficulties must be discriminated from deficiencies in mathematical learning caused by impairments in general processes, such as attention control and WM (Gersten et al., Reference Gersten, Jordan and Flojo2005; Peng & Fuchs, Reference Peng and Fuchs2016; Peng et al., Reference Peng, Wang and Namkung2018; Swanson & Jerman, Reference Swanson and Jerman2006).
Several brain networks related to number representation and processing are deficient in individuals with dyscalculia (Table 1). They exhibit reduced activation and atypical functioning in the IPS and atypical activation and connectivity between the IPS and prefrontal cortex (PFC), both implicated in number processing (Rosenberg-Lee et al., Reference Rosenberg-Lee, Ashkenazi, Chen, Young, Geary and Menon2015). Dyscalculics also display alterations in visual processing networks, including the occipital cortex and the fusiform gyrus, which are involved in processing written numerals and mathematical symbols. The ventral attention network, another central network for mathematics, is also altered in individuals with dyscalculia (Kucian, Reference Kucian, Berch, Geary and Mann Koepke2016).
Noticeably, dyscalculia does not affect linguistic coding, which is affected by dyslexia. Dyscalculics have difficulty in associating Arabic numerals with their magnitudes, but they do not in associating letters with phonemes; individuals with dyslexia find it hard to recognize and name letters and digits, but they have no problem with magnitude processing, symbolic or non-symbolic (Rubinsten & Henik, Reference Rubinsten and Henik2006). However, some children may face difficulties in both domains (Landerl et al., Reference Landerl, Fussenegger, Moll and Willburger2009; Wang et al., Reference Wang, Tasi and Yang2012).
Aphantasia
Mental images are subjective perceptual experiences of stimuli not currently perceived or voluntarily generated modality-specific representations of stimuli with previously experienced features or novel combinations of features (Kosslyn et al., Reference Kosslyn, Thompson and Ganis2006). These mental images produce the subjective perceptual experience of the imagined stimuli (Pearson et al., Reference Pearson, Naselaris, Holmes and Kosslyn2015). Individuals with aphantasia cannot create mental images voluntarily, even though their perception and memory are normal. Some individuals report that they cannot generate mental images, while they can describe their perceptual experiences verbally. Aphantasia is not a neurodevelopmental disorder like the disorders discussed before, and it is broader than the specific difficulties faced by individuals with dyslexia or dyscalculia in visualizing written letters or magnitudes.
Individuals with aphantasia may display reduced activation or atypical functioning in the visual association cortex, particularly in the occipitotemporal and occipitoparietal regions involved in higher-level visual processing, including object recognition and scene construction. Moreover, some studies reported altered patterns of functional connectivity within the default mode network (DMN in individuals with aphantasia, perhaps associated with difficulties in generating mental images in tasks requiring the DMN (Keogh et al., Reference Keogh, Pearson, Zeman, Barton and Leff2021; Milton et al., Reference Milton, Fulford, Dance, Gaddum, Heuerman-Williamson, Jones and Zeman2021).
Developmental disabilities in central processes
ADHD primarily affects EFs rather than AACog processes. ASD involves the relational integration and awareness processes of the AACog mechanism together with domain-specific processes, such as social understanding. Cognitive, social, and behavioral weaknesses associated with these disabilities are more widespread than domain-specific difficulties because of the role of general mechanisms in the functioning of domain-specific mechanisms. We discuss ADHD and ASD in detail below.
Attention-deficit/hyperactivity disorder
ADHD is characterized by persistent inattention, hyperactivity, and impulsivity or disinhibitory control (Barkley, Reference Barkley1997). Children with ADHD are easily distracted, have difficulty sustaining focus, and struggle with planning and organization (Papadopoulos et al., Reference Papadopoulos, Panayiotou, Spanoudis and Natsopoulos2005). They forget critical details, find it difficult to follow instructions and fail to complete tasks. They may engage in excessive talk, have difficulty being quiet, and struggle to engage in leisure activities. These difficulties may be socially disruptive.
There is only a limited overlap between the brain networks affected by ADHD and ASD (Wang et al., Reference Wang, Li and Niu2021). In ADHD, some networks connected to attention are affected, such as the salience network, including the anterior insula and dorsal anterior cingulate cortex (dACC) (Sutcubasi et al., Reference Sutcubasi, Metin, Kurban, Metin, Beser and Sonuga-Barke2020). This network is involved in detecting and orienting attention to salient stimuli. The Ventral Attention Network (VAN), including the temporoparietal junction (TPJ) and the ventral frontal cortex, is also affected (Table 1). This network is related to shifting attention because it reorients attention to unexpected stimuli. The cerebellum, associated with motor control, is also affected. Although relational integration processes may be spared in ADHD, they may not function properly because they are deprived of required information not attended to, compromising integration. The DMN, which is associated with self-awareness, and the frontostriatal network, which includes the PFC and the striatum (caudate nucleus and putamen) and is related to planning, cognitive control, and WM is also affected in ADHD. However, individuals with ADHD have only slightly lower IQ scores (about 3 points) than typically developing individuals; this difference is not clinically significant (Bridgett & Walker, Reference Bridgett and Walker2006). The severity of symptoms may vary across ADHD cases and age, perhaps because of delays in cortical maturation (Shaw et al., Reference Shaw, Eckstrand, Sharp, Blumenthal, Lerch, Greenstein, Clasen, Evans, Giedd and Rapoport2007).
Autism spectrum disorder
ASD relates to difficulties in all core processes in AACog. Perceptual difficulties impair search, alignment, and abstraction processes. Perception in ASD individuals is strongly attracted by local details or featural information, failing to systematically scan and align features in search of an underlying theme. Happe (Reference Happé1999) proposed the Weak Central Coherence theory to account for the dominant symptoms of ASD. This is “a processing bias for featural and local information, and relative failure to extract gist or ‘‘see the big picture’’ in everyday life.” (Happe & Frith, Reference Happé and Frith2006, p. 6). The inability to experience wholes without full attention to the constituent parts and a persistent preoccupation with parts of objects stand as diagnostic criteria for ASD (DSM-IV, Lewis, Reference Lewis1996). Relatedly, autistic children are inept in attending to, recognizing, and remembering human faces, compromising social interactions (Behrmann et al., Reference Behrmann, Avidan, Leonard, Kimchi, Luna, Humphreys and Minshew2006).
Difficulties in alignment and abstraction coexist with severe problems in cognizance, hindering Theory of Mind (ToM) and mental awareness (Baron-Cohen, Reference Baron-Cohen2000) and hampering social communication and social interaction in ASD. Deficiencies in awareness of the representational nature of mind and human experience disable persons with ASD from considering others’ perspectives and negotiating differing points of view, beliefs, and intentions.
The DMN is impaired in ASD, too (Nair et al., Reference Nair, Jolliffe, Lograsso and Bearden2020). The DMN includes the medial prefrontal cortex (mPFC), posterior cingulate cortex, and angular gyrus, active during rest and self-referential thinking. Areas in the social brain network which are critical for processing social information, such as the fusiform face area (FFA), superior temporal sulcus, amygdala, orbitofrontal cortex (OFC), and anterior cingulate cortex (ACC), also show atypical activation patterns during social tasks in ASD, such as face processing or ToM tasks (Cheng et al., Reference Cheng, Rolls, Gu, Zhang and Feng2015). Altered activation and connectivity within the Mirror Neuron System (MNS) were also reported (Chan & Han, Reference Chan and Han2020; Perkins et al., Reference Perkins, Stokes, McGillivray and Bittar2010; Rizzolatti et al., Reference Rizzolatti, Craighero, Fadiga, Stamenov and Gallese2002); the MNS is involved in understanding and imitating the actions and emotions of others (Iacoboni & Dapretto, Reference Iacoboni and Dapretto2006) (Table 1).
These deficiencies cause self-isolation and social friction when interacting with others. Children with autism have difficulty developing and maintaining social relationships, including making eye contact and engaging in back-and-forth conversations. It is also difficult for them to understand social cues, such as facial expressions and body language, as signs indicating the perspectives, beliefs, and motives of others. Playing imaginatively or demonstrating pretend skills is also complex for children with ASD (Kasari et al., Reference Kasari, Brady, Lord and Tager-Flusberg2013).
Deficiencies in the perceptual alignment and abstraction processes appear early in infancy when these processes are dominant developmental priorities (Shao & Gentner, Reference Shao and Gentner2022). Sensory sensitivities may also be displayed, including an aversion to loud noises or the texture of things. Deficiencies in cognizance involving ToM and perceptual awareness appear later, in 3-4 years, when they dominate as priorities. Unless diagnosed and treated, these deficiencies multiply with age (Dahiya et al., Reference Dahiya, McDonnell, DeLucia and Scarpa2020; Hudry et al., Reference Hudry, Chetcuti, Boutrus, Pillar, Baker, Dimov, Barbaro, Green, Whitehouse and Varcin2021). Specifically, ASD individuals experience difficulties managing attention because it is captured by interests in specific activities. ASD children often have a limited range of interests, focusing on a particular topic or object and showing little interest in other activities. The overall profile of difficulties above is reflected in considerably lower-than-average IQ in most individuals with ASD (by 20–30 points) (Charman, Pickles, et al., Reference Charman, Pickles, Simonoff, Chandler, Loucas and Baird2011; Fombonne, Reference Fombonne2003). However, many ASD individuals have average or superior IQ (Charman et al., Reference Charman, Jones, Pickles, Simonoff, Baird and Happé2011).
Disorders affecting relational integration and inference
Several disorders affect relational processing as such. One of these disorders, Williams Syndrome (WS), is a rare neurodevelopmental condition caused by a genetic deletion on chromosome 7. The condition leads to various cognitive, social, and physical characteristics. Individuals with WS typically have an IQ between 50 and 70, implying severe problems in relational processing. Notably, the frontoparietal network related to relational integration is impaired in WS. Also, individuals with WS have impaired visuospatial and mathematical skills, perhaps because the dorsal stream, known as the “where” pathway, is impaired. This pathway is responsible for visual processing, extending from the primary visual cortex to the parietal cortex, and involves spatial processing, motion perception, and visuomotor integration (Donnai & Karmiloff-Smith, Reference Donnai and Karmiloff-Smith2000; Karmiloff-Smith et al., Reference Karmiloff-Smith, Brown, Grice and Paterson2018). Notably, verbal and social skills are not affected. WS individuals show atypical activation within the ventral stream. This “what” pathway extends from the primary visual cortex to the temporal cortex and involves object recognition and face processing. This may relate to their interest in faces and social stimuli (Karmiloff-Smith, Reference Karmiloff-Smith1997).
Down syndrome is another genetic condition caused by an extra copy of chromosome 21 (trisomy 21). Most individuals with Down syndrome present a degree of intellectual disability, with an IQ ranging from 40 to 70 (Cicchetti & Beeghly, Reference Cicchetti and Beedghly1990). Interestingly, the IQ of these children declines after middle childhood, indicating failure to develop and consolidate rule- or principle-based thought requiring advanced analogical and deductive reasoning (Carr, Reference Carr2005). Notably, it was found decades ago “that retarded and nonretarded persons traverse the same stages of development in the same order, differing only in the rate at which they progress and in the ultimate ceiling they attain, … regardless of etiology, with the possible exception of individuals suffering from pronounced EEG abnormalities” (Weiss & Zigler, Reference Weisz and Zigler1979, p. 846).
Shared and distinct architectural and developmental aspects
Dimensions of atypical development
This paper presented a theory aiming to account for typical and atypical development in the same theoretical framework. The theory describes a cognitive architecture comprising local and central systems. Local systems provide initial interpretations of objects and their relations and build advanced domain-specific concepts and skills in interaction with central systems. Central systems compute relations within or across local systems, checking for consistency of experience across them to optimize understanding or action. The relative autonomy of local systems is meaningful because it allows efficiency in the initial processing of different types of information. Central controls are needed to deal with inconsistencies in incoming data, which require integration for better choices. In a modular system enjoying integration at multiple levels, things may go wrong for many reasons. Deficits in local modules would hamper performance in the domain affected and spread to other modules according to demands. Deficits in central systems may cause generalized deficiencies in local modules, even if they are intact, although often, modules may operate well. For instance, these deficits may compromise the homostatic self-regulatory structures of the mind, cascading in several directions (Cichetti & Tucker, Reference Cicchetti and Tucker1994; Masten & Cicchetti, Reference Masten and Cicchetti2010).
Therefore, all modules may be dimensions of individual differences and atypical development. Modules depending on a specific symbol system are more prone to disorder. Language disability and dyslexia, dyscalculia, aphantasia, and ASD depend on linguistic, arithmetic, iconic, and mentalistic/social symbol systems, respectively. Therefore, deficiency in the operation of a symbol system is critical for a domain-specific disorder. Interestingly, two domains unrelated to a specific symbol system, categorical and causal thought, are unrelated to a particular neurodevelopmental condition. Relations in these domains may be represented by alternative symbolic means. When central systems operate sufficiently, relations in symbol-free systems may be constructed via alternative symbol systems, bypassing deficient ones. For instance, the same causal relation may be described verbally, may be visualized as an interaction of the factors involved, or defined as a mathematical relation. Also, if central systems are intact, overall learning may, in the long run, compensate for the effects of symbol-specific deficiencies. All disorders may coexist with average IQ, suggesting intact general cognitive mechanisms (Peng et al., Reference Peng, Lin, Unal, Lee, Namkung, Chow and Sales2020).
The effects of deficiencies in central systems are broader, but they still depend on the system involved and the possible involvement of domain-specific systems. For example, deficiency in relational integration in WS exerts a broad debilitating effect, generally causing low intelligence. Difficulties in information integration prevent learning across domains. Notably, symbolic aspects of language, such as grammar and syntax, are spared in WS, but relational language is compromised (Mervis & Velleman, Reference Mervis and Velleman2011). In ADHD, executive rather than AACog processes are deficient. As a result, total IQ is generally normal in ADHD despite problems in various domains which need focused, effortful, and time-dedicated learning, such as mathematics. Awareness appears compromised in ADHD, but this is secondary, arising from a lack of stable representations that the mind’s eye can turn to because of low attention span. Deficiencies in ASD are broader because they involve all aspects of the AACog mechanisms and the social domain. Thus, overall relational integration is compromised because information intake is fragmented, yielding low-quality information for integration.
Similarly, in actual life, both ADHD and ASD may fail to recognize mental states, empathize with others, and adjust one’s mental state to others, but the reasons are different. In ADHD, the mental states of others may be understood, but they are not noted because they are not attended to. In ASD, mental states cannot be interpreted because they are incomplete. Thus, social impairments in the two conditions are associated with different pathways, channeled by inattention, impulsivity, and hyperactivity in ADHD to social ineptness and stereotyped behavior in ASD (Sokolova et al., Reference Sokolova, Oerlemans, Rommelse, Groot, Hartman, Glennon, Claassen, Heskes and Buitelaar2017).
Developmental aspects of atypical development
Failing to attain the priorities of some developmental cycles is more critical for atypical development than others. Priorities of representational thought, representational awareness, and executive control are critical for progression to the following cycles. Regardless of the system involved, individuals with symbolic difficulties may suffer consequences in various other aspects of mental functioning. Problems at any early level of cognitive functioning can cause problems at follow-up levels. Also, the higher the source of the problem, the broader the problem. For example, inappropriate attention or arousal disrupts planning, WM or processing speed, and achievement areas. Even if attention or arousal is within tolerable limits, planning problems could disrupt lower levels of processing. Similarly, if one or many general cognitive skills are weak, they can produce a particular learning problem across achievement areas, with significant impairments in processing speed. For example, poor phonological processing could affect word decoding, resulting in overemphasizing visual cues in spelling and an inability to follow a plan in problem-solving. Finally, learning problems can give rise to secondary affective issues, which can feed back upon the higher levels of processing. Likewise, individuals may also face obstacles in developing the metacognitive skills required for self-evaluation and self-regulation, hampering problem-solving, conceptual change, and skill acquisition in different domains (Susac et al., Reference Susac, Bubic, Vrbanc and Planinic2014).
Difficulties in handling symbolic systems may affect reasoning, limiting flexibility in inference even for individuals attaining rule-based or principle-based thought. Many ASD individuals have average or high IQs in adolescence and adulthood (Charman et al., Reference Charman, Jones, Pickles, Simonoff, Baird and Happé2011). These individuals solve principle-based analogical and deductive reasoning problems, including fallacies (Green et al., Reference Green, Kenworthy, Mosner, Gallagher, Fearon, Balhana and Yerys2014). However, they do not contextualize logical arguments with background information, failing to examine arguments from alternative points of view (McKenzie et al., Reference McKenzie, Evans and Handley2010) and thus appearing less insightful in reasoning (Lewton et al., Reference Lewton, Ashwin and Brosnan2019). Therefore, what seems to be a weak central coherence (Happé & Frith, Reference Happé and Frith2006) or complexity management (Williams et al., Reference Williams, Goldstein and Minshew2006) may reflect a residual difficulty in symbolic flexibility dated since the consolidation of representational thought. These considerations must be considered for the design of diagnostic and treatment programs addressed to the various disorders.
Diagnosis and treatment
Deficiencies must be diagnosed and treated in time to enhance children’s abilities to learn and develop normally. Modern technologies bring the knowledge reflected in this paper closer to clinicians and teachers of children with learning difficulties. Artificial Intelligence (AI) and related technologies, such as virtual reality, must be integrated into the evaluation and treatment practices addressed to children with developmental disorders, connecting online developmental norms with children’s performance. Likewise, mathematical models that analyze how learning occurs at a micro-level can help us understand behavior better. These models can capture the detailed sequence of events during an intervention or learning session. Studying this process can help us focus on the process of developing new strategies and skills rather than just the product (Christoforou et al., Reference Christoforou, Ktisti, Richardson and Papadopoulos2023).
In infancy, children at risk for various reasons must be evaluated for precursors, such as deficiencies in sound or visual perception or relational understanding, which may indicate proneness for mental disorders (Wolff & Piven, Reference Wolff and Piven2021). In kindergarten, assessment must address attention control, integration of symbolic elements (e.g., stylized pictures standing for objects, scripts for letters, numbers, and magnitudes), and understanding others’ perspectives. In primary school, assessment must address rule induction to create concepts, the use of rules to organize objects, flexibility in shifting between contexts, and self-regulation according to strengths and weaknesses. In high school, assessment must evaluate how reasoning is used to check the truth, reliability, and accuracy of information, understand how epistemic or ideological contexts may constrain knowledge and beliefs, and how a differentiated self-concept is formed.
Remedial programs must be developmentally structured to enhance performance in general processes, processes in the symbol systems affected, and in using general processes to process specific information of interest to meet developmental priorities. In domain-specific disorders, instruction must enable different means to symbolize concepts and actions by means, such as language, images, and drawings, and noting their pros and cons would be necessary for mastering mental representation. For example, training aspects of phonological processing, such as grapheme-phoneme correspondence, word decoding, and spelling accuracy, benefits reading learning in children with reading difficulties (Lyytinen et al., Reference Lyytinen, Erskine, Kujala, Ojanen and Richardson2009; Tilanus et al., Reference Tilanus, Segers and Verhoeven2019).
Similarly, interventions for dyscalculia should target enhancing number sense, arithmetic, and mathematical reasoning, which involve symbolic integration of numerical information. For instance, identifying number order randomly arranged exerts a generally beneficial effect on understanding numbers (Iseman & Naglieri, Reference Iseman and Naglieri2011; Park & Brannon, Reference Park and Brannon2013). A program directed to the spatial representation of numbers and the use of the mental number line, associating representations of numbers and space and grasp of ordinality of numbers improves understanding of the relationship between magnitudes, accurate number representation, and comprehension of ordinality (Kucian et al., Reference Kucian, Grond, Rotzer, Henzi, Schönmann, Plangger, Gälli, Martin and von Aster2011).
Central processes must be addressed in ADHD and ASD. Interventions for ADHD must focus on improving attention, self-regulation, coping strategies, and functioning in various settings. These may indirectly improve symbolic integration. The treatment of ASD must support stimulus search and exploration, their mapping on each other according to different criteria, and their symbolic integration and representation. Interventions must also improve the functioning of ASD children in social situations by helping them learn and improve coping strategies and skills. For instance, interventions must practice interpersonal interactions requiring joint attention and shifting between objects and representations, turn-taking, and awareness of each other’s mental representations. Also, training in using relatively intact aspects of reasoning, such as analogical reasoning, would compensate for weakness in the contextual and interpersonal embedding of information to be interpreted. This would improve social and communicative abilities in children with autism.
Conclusions
In conclusion, the following general principles hold as they integrate typical and atypical development.
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1. Development in any specific domain depends on the state of processes specific to this domain, such as linguistic representation in reading or magnitude representation in mathematics. Therefore, development in this domain may stall if critical processes are deficient, even if general or other specific processes are intact.
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2. Overall development is a function of the state of central processes. When central relational mechanisms are intact, development, even if delayed, will reach rule-based or principle-based thought, which is important for social functioning. This explains why the IQ of individuals with deficiencies in central processes is low, and the IQ of individuals with deficiencies in a specific domain is generally normal (Brandenburg et al., Reference Brandenburg, Huschka, Visser and Hasselhorn2021; Deb et al., Reference Deb, Roy, Bachmann, Bertelli, Bertelli, Deb, Munir, Hassiotis and Salvador-Carulla2022; McDonough et al., Reference McDonough, Flanagan, Sy, Alfonso, Goldstein and DeVries2017).
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3. Deviation from normality increases with increasing deficiency in central processes or the number of deficient specific processes. Quality and rate of development would be affected because the poverty of domains would impede or distort the development of central processes (see Figure 1).
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4. The importance of attaining developmental priorities varies as a function of the developmental cycle. Attaining the priorities of representational thought is more critical than other cycles. Failing to meet the significant priorities of this cycle, representational awareness, and attention control, if concurrently present with deficiencies in a specific domain, would result in a developmental disorder related to this domain and may continue to exert adverse effects much later.
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5. Based on the model presented here, a complete diagnostic system would map the precise profile of children at risk about all domain-specific and central dimensions of the architecture of mind. Also, such a model which focuses on understanding systems-level brain development at the level of the individual child can specify the likelihood of a disorder, explain comorbidity across neurodevelopmental disorders and help understand heterogeneity within neighboring conditions. Evidence-Based Intervention, in turn, can lead to experimentally implement new multimodal remedial methodologies for treating several domains of impairment.
Acknowledgements
Special thanks are due to Dimitris Anastasiou for his comments on an earlier version of this article.
Funding statement
No funding was obtained for this paper.
Competing interests
There are no competing interests.
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