Unit 4 Gender responsive and inclusive pedagogy

7.6. Learners with discalculia

Dyscalculia is a specific learning disability that affects a learner's ability to understand, learn, and perform mathematical concepts and calculations. It involves difficulties with number sense, mathematical reasoning, arithmetic operations, and understanding numerical relationships. Dyscalculia is not caused by low intelligence, poor teaching, or lack of effort. Learners with dyscalculia often experience persistent challenges in mathematics.

Characteristics of learners with dyscalculia

The characteristics of dyscalculia vary depending on the severity of the condition and the learner's age.

• Difficulties with number sense: Number sense refers to the ability to understand and work with numbers: difficulty recognizing and understanding numbers, problems identifying the value of numbers, difficulty comparing quantities (greater than, less than, equal to), poor understanding of numerical relationships.  Examples: Difficulty understanding that 8 is larger than 5; confusion when arranging numbers in order.
• Difficulty learning basic arithmetic operations: difficulty understanding addition, subtraction, multiplication, and division, frequent errors in calculations, inability to remember arithmetic facts, reliance on counting fingers long after peers have mastered basic facts.  Examples: Difficulty recalling that 5 + 3 = 8, confusing multiplication and division operations.
• Problems with mathematical reasoning:  Difficulty solving word problems, challenges identifying appropriate mathematical operations, problems understanding mathematical concepts and procedures, difficulty applying mathematical knowledge to new situations.  Examples: Inability to determine whether to add or subtract in a word problem, difficulty explaining mathematical reasoning.
• Difficulties understanding mathematical symbols: Confusion between symbols such as:

and ×; < and > ; ÷ and −; difficulty interpreting mathematical notation. Examples: Using the wrong operation sign when solving problems, misreading equations.

• Memory difficulties related to mathematics: difficulty remembering multiplication tables, problems recalling mathematical formulas, forgetting procedures used to solve problems, challenges retaining numerical information. Examples: forgetting steps in long division, difficulty remembering place value rules.
• Difficulties with sequencing and patterns: problems recognizing numerical patterns, difficulty counting forward and backward, challenges understanding sequences. Examples: difficulty continuing number patterns, problems counting by twos, fives, or tens.
• Difficulties with time, measurement, and money: Struggle with concepts related to time (days, weeks, months, seasons, quarters), difficulty reading clocks, problems understanding calendars and schedules, challenges estimating quantities and distances, difficulty handling money and making change.  Examples: Confusion about elapsed time, difficulty calculating the total cost of purchases.
• Spatial and visual difficulties: difficulty aligning numbers correctly, problems interpreting graphs, charts, and tables, confusion with place value organization. Examples: Writing numbers in incorrect columns, difficulty understanding coordinate systems.
• Emotional and behavioral characteristics:

1. Mathematics anxiety: Learners often experience fear and stress when faced with mathematical tasks.
2. Low self-esteem: Repeated difficulties may reduce confidence in academic abilities.
3. Avoidance of mathematics: Learners may avoid participating in mathematical activities.
4. Frustration: Difficulty understanding mathematical concepts may lead to discouragement.

Academic characteristics: Mathematics performance significantly below expected levels, strong performance in non-mathematical subjects, difficulty completing mathematical assignments independently.

Strategies for teaching learners with dyscalculia

Learners with dyscalculia experience significant difficulties in understanding numbers, mathematical operations, problem-solving, measurement, time, and numerical reasoning. Despite these challenges, they possess normal intellectual abilities and can succeed when provided with appropriate support. Effective teaching involves the use of concrete materials, multisensory instruction, visual supports, step-by-step guidance, assistive technology, individualized interventions, and positive encouragement. By addressing learners' specific needs and building their confidence, teachers can help them develop meaningful mathematical understanding and skills.

• Use concrete materials and manipulatives: Concrete materials help learners visualize mathematical concepts. Learners can physically manipulate objects to understand abstract concepts.
• Teach concepts step by step: Break tasks into smaller components, introduce one concept at a time, move gradually from simple to complex ideas.  Example: Teach addition before introducing subtraction and more advanced operations.
• Use multisensory teaching methods: Engage multiple senses during instruction.
• Some activities may include touching and moving objects, speaking mathematical facts aloud, writing numbers while saying them, using visual aids and demonstrations.
• Multisensory learning improves understanding and retention.
• Strengthen number sense: Some activities include number recognition exercises, number ordering activities, estimation tasks, comparing quantities. Example: Use number lines to demonstrate numerical relationships.
• Use visual supports: Visual aids make mathematical relationships easier to understand. Examples: Number charts, place value charts, graphic organizers, diagrams and illustrations.
• Provide repeated practice and review: Review concepts frequently, practice skills regularly, reinforce previously learned material. For instance, begin each lesson with a brief review of earlier concepts.
• Teach problem-solving strategies explicitly? identify important information, underline key words, choose the appropriate operation, check answers for reasonableness. Example:  Model how to solve a word problem step by step.
• Use assistive technology: Use tools like talking calculators, mathematics learning applications, interactive educational software, digital manipulatives.  Example: Allow learners to use calculators for complex calculations while focusing on conceptual understanding.
• Relate mathematics to real-life situations: Give activities like shopping simulations, time management exercises, cooking measurements, classroom budgeting activities. Real-life applications increase understanding and motivation.
• Adapt assessments: Provide accommodations such as extra time during tests, oral explanations of questions, use of calculators where appropriate, reduced emphasis on speed. Example: Assess understanding through practical demonstrations rather than only written tests.
• Provide individualized support: Offer additional instruction when needed, monitor progress regularly, adjust teaching approaches based on learner needs.  Example: Provide small-group or one-on-one mathematics support sessions.
• Encourage peer learning: Pair learners with supportive classmates, use cooperative learning groups, promote discussion of mathematical ideas. Example: Allow learners to solve problems collaboratively before working independently.
• Reduce mathematics anxiety: Create a supportive classroom atmosphere, celebrate small successes, focus on progress rather than mistakes, avoid embarrassing learners for incorrect answers.  Example: Praise effort and problem-solving attempts even when answers are not completely correct.
• Collaborate with parents and specialists: Communicate regularly about progress, share effective strategies for home practice, work with special educators and psychologists when appropriate.  Example: Provide parents with practical activities to reinforce number concepts at home.