Math Learning Disabilities in Students With Dual Exceptionalities
This paper examines mathematical learning disabilities (MLD) in students across the ability spectrum, with particular attention to twice-exceptional learners who possess high gifts alongside significant learning challenges. It discusses how MLD manifests through difficulties in fact retrieval, working memory, counting strategies, and numerical reasoning, and why these students are often misidentified or identified too late. The paper also addresses related conditions such as dyscalculia and mathematical anxiety, surveys the prevalence of persistent low achievement in mathematics, and considers which instructional interventions show the most promise for supporting students with MLD and related learning challenges.
- Twice-Exceptional Students and Learning Disabilities: Defining gifted students who also have learning disabilities
- Mathematical Language and Instructional Materials: How materials and language barriers hinder math learning
- Prevalence and Working Memory Deficits in MLD: Frequency of MLD and its link to working memory
- Identification Challenges and Long-Term Outcomes: Why late identification worsens student trajectories
- Common Cognitive Traits of Students With Math Learning Disabilities: Fact retrieval, counting strategies, and number sense deficits
- Dyscalculia, Mathematical Anxiety, and Daily Functioning: Dyscalculia criteria, anxiety, and avoidance behaviors
- References: Cited empirical sources supporting the paper
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What makes this paper effective
- The paper draws on peer-reviewed empirical sources (Geary, Ostergren, Gersten et al.) to substantiate each claim, lending credibility to what could otherwise be speculative characterizations of student difficulties.
- It addresses a wide continuum of learners — from twice-exceptional gifted students to those with persistent low achievement — giving the paper broader relevance than a narrower treatment would allow.
- Concrete behavioral observations (e.g., students counting on fingers or ceiling stripes after peers have abandoned that strategy) make abstract cognitive deficits tangible and memorable for readers.
Key academic technique demonstrated
The paper synthesizes multiple empirical studies into a coherent thematic narrative, moving from population definition through symptom description to intervention implications. This literature-synthesis approach allows the writer to build a layered argument rather than simply reporting individual findings in isolation.
Structure breakdown
The paper opens by defining twice-exceptional students and framing the identification problem. It then addresses instructional materials and language barriers, shifts to prevalence data and working memory research, and examines why early identification so often fails. Two closing sections detail specific cognitive traits and the related issues of dyscalculia and mathematical anxiety, grounding the discussion in real student experience before the reference list concludes the paper.
Twice-Exceptional Students and Learning Disabilities
Students who are talented yet also have learning disabilities — often called twice-exceptional learners — possess exceptional talent or giftedness and are capable of high performance, but they also have some form of learning disability that makes certain aspects of academic success challenging. These students are frequently regarded as underachievers, and this underachievement may stem from a lack of inspiration, poor self-concept, or traits that are perceived negatively, such as laziness. As school becomes more demanding, their academic challenges may intensify to the point where they fall sufficiently behind their peers that a disability is eventually suspected.
Even though these students may appear to be doing reasonably well, they are, unfortunately, not performing up to their potential. As assignments grow increasingly challenging in subsequent years, and without the support needed to accommodate their areas of weakness, their academic difficulties typically escalate to the level where a learning disability may be suspected — yet their full potential is rarely recognized. Students with learning disabilities show consistent and significant discrepancies in their ability to develop long-term memory representations of essential arithmetic facts, or in retrieving those facts after they have been learned (Geary, Hoard, Nugent, & Bailey, 2012).
Mathematical Language and Instructional Materials
Varied concrete materials are appropriate for different teaching purposes. Materials do not teach on their own; they work in combination with teacher guidance, student involvement, and repeated explanations and demonstrations by both teachers and students. Frequently, student confusion about the principles of written mathematical notation is reinforced through the use of ditto pages and workbooks filled with questions that require solving. Through these formats, students learn to be problem answerers rather than genuine demonstrators of mathematical concepts.
Many students with learning disabilities are specifically hindered by mathematical language, leading to confusion over terminology, difficulty following oral explanations, and poor oral skills when attempting to articulate the steps of complex calculations. Students with language discrepancies tend to treat mathematical problems on the page as signals to perform an operation rather than as meaningful sentences that must be read and understood. It is almost as if they deliberately avoid verbalizing the mathematics (Ostergren, 2013).
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