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Rigorous Mathematical Thinking

Rigorous Mathematical Thinking

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"Rigorous Mathematical Thinking" by James T. Kinard, Alex Kozulin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. Though this approach can be applied in any classroom, it seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: They should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches allowing such an active construction - Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.

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Best For: Educators and researchers interested in cognitive development and mathematics education, especially those working with socially disadvantaged or culturally diverse students.
Focus: Developing students' cognitive tools and operations to foster rigorous mathematical thinking.
Covers: The conceptual formation of mathematical thinking in classroom settings and the active construction of cognitive functions.
Why It Matters: It challenges the view that cognitive development follows a natural maturation path, emphasizing the need for active construction of cognitive functions to improve mathematical understanding.

"Rigorous Mathematical Thinking" by James T. Kinard, Alex Kozulin is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: James T. Kinard, Alex Kozulin

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. Though this approach can be applied in any classroom, it seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: They should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches allowing such an active construction - Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.

AuthorJames T. Kinard, Alex Kozulin
PublisherCambridge University Press
Published2008-06-02
ISBN-139780521876858
BindingHardcover
Pages216
LanguageEnglish
SubjectsPsychology
TopicCore Mathematics

Format: Hardcover

Length: 216 pages

Language: English

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