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Students with Learning Disabilities Mathematics Math Skills Development • Learning readiness – Number instruction • Classification, ordering, one-to-one correspondence – More Advanced Mathematics • Operations – Addition, subtraction, multiplication, and division • Basic axioms – Commutative property of addition, commutative property of multiplication, associative property of addition and multiplication, distributive property of multiplication over addition, and inverse operations for addition and multiplication Specific Learning Disabilities In Math • General Characteristics – Learned helplessness – Passive learners – Metacognitive and cognitive processes – Social and emotional factors – Arousal deficit theory Math Skills Assessment • • • • General skills assessment Specific skills assessment Problem-solving assessment Attitude toward mathematics Examining Math Errors • Corrective intervention is influenced by type of error • Two major areas – Computation – Problem Solving Level of Understanding • Concrete – Manipulation of objects • Semiconcrete – Working with illustrations of items in performing math tasks • Abstract – Use of numerals Assessment • Formal math assessment with standardized tests • Formal math assessment with criterionreferenced tests • Informal math assessment – – – – Curriculum-based measurement Teacher-constructed tests Assessment at the three levels Diagnostic math interviews Research on Effective Math Instruction • Problem-solving • Communication of mathematical ideas • Mathematical reasoning • Application of mathematics to everyday situations • Alertness to reasonableness of results • Estimation • Appropriate computational skills • Algebraic thinking • Measurement • Geometry • Statistics • Probability Teaching the Acquisition of Math • • • • Follow teaching steps Use teacher modeling of explicit strategies Focus on teacher-student interactions Use the concrete-semiconcrete-abstract sequence • Teach concepts and rules • Monitor progress and provide feedback • Maintain flexibility Teaching Toward… • • • • Mastery Problem solving Generalization Positive attitude toward math Concrete-SemiconcreteAbstract Activities • • • • • Subtraction with regrouping Multiplication Algorithms Multiplication algorithms Fraction algorithm Problem-Solving Interventions • CSA sequence • RIDE – Read the problem correctly – Identify the relevant information – Determine the operations and unit for expressing the answer – Enter the correct numbers and calculate and check the answer