From Arithmetic to Algebra

A Sequence of Theory-Based Tasks
  • William Baker
  • Bronislaw Czarnocha


The chapter deals with language in the mathematics classrooms, especially with mathematics remedial classrooms. It presents an unusual example of integrating two independent theories, the Sfard (1991) theory of reification and Shepard (1993)/Shuell (1990) integrated theory of cognitive development and writing categories. In the first cycle it’s the TR Design Type A, from Practice; it uses problem types designed through practice and supports itself by a standard yet simple statistical analysis.


Conceptual Knowledge Mathematics Classroom Final Exam Procedural Knowledge Instructional Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Sense Publishers 2016

Authors and Affiliations

  • William Baker
    • 1
    • 2
  • Bronislaw Czarnocha
    • 3
    • 4
  1. 1.Mathematics DepartmentEugenio Maria de Hostos Community CollegeUSA
  2. 2.City University of New YorkUSA
  3. 3.Mathematics DepartmentEugenio Maria de Hostos Community CollegeUSA
  4. 4.City University of New YorkUSA

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