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Publication date: 29 June 2016

Developing Mathematical Problem Solving through Strategic Instruction: Much More Than a Keyword

Paul J. Riccomini, Jiwon Hwang and Stephanie Morano

While deficits for students with learning disabilities (LD) are prevalent in almost all aspects of mathematics, difficulty in the application and understanding of…

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Abstract

While deficits for students with learning disabilities (LD) are prevalent in almost all aspects of mathematics, difficulty in the application and understanding of problem-solving tasks are much more challenging to remediate than computational and procedural skills. Given the complexities involved in authentic problem-solving activities emphasized in current mathematics standards and the inherent challenges presented to students with LD, the importance of using strategies and techniques guided by evidence-based practices is paramount. Yet, ineffective instructional strategies for problem solving are still widespread in both mathematics curricula and available teacher resources. In this chapter, we provide a description of a commonly used ineffective problem-solving strategy (i.e., the keyword strategy), an overview of the keyword research, and an explanation for its ineffectiveness. We conclude with a description of three evidenced-based problem-solving approaches and practices that significantly improve the mathematical performance of students with LD.

Details

Instructional Practices with and without Empirical Validity
Type: Book
DOI: https://doi.org/10.1108/S0735-004X20160000029003
ISBN: 978-1-78635-125-8

Keywords

  • Mathematics
  • problem solving
  • keyword
  • schema-based
  • learning disabilities

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Publication date: 29 June 2016

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Abstract

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Instructional Practices with and without Empirical Validity
Type: Book
DOI: https://doi.org/10.1108/S0735-004X20160000029013
ISBN: 978-1-78635-125-8

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Book part
Publication date: 7 July 2017

Examining the Literacy within Numeracy to Provide Access to the Curriculum for All

David Evans

Being numerate involves the ability to use mathematical knowledge meaningfully across multiple contexts allowing us to order our day, optimise our health and well-being…

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Being numerate involves the ability to use mathematical knowledge meaningfully across multiple contexts allowing us to order our day, optimise our health and well-being, and function in technology rich environments. Addressing numeracy from the early years of learning, and across all areas of the education curriculum, is key to lifelong learning and quality of life. Being numerate, however, is more than mathematical knowledge; the language that underpins it heavily impacts how we become numerate. This chapter examines numeracy, or mathematical literacy, investigating how literacy can include, and exclude, students from opportunities to learn at school and beyond. This chapter will also examine how numeracy can be used to provide access to educational curricula and personalised goals for students with diverse learning needs in ways that many have ignored.

Details

Inclusive Principles and Practices in Literacy Education
Type: Book
DOI: https://doi.org/10.1108/S1479-363620170000011003
ISBN: 978-1-78714-590-0

Keywords

  • Numeracy
  • curriculum access
  • personalised learning
  • mathematical literacy
  • mathematical knowledge
  • inclusive education

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