ISBN:
9780387097428
,
1282839381
,
9780387097411
,
9781282839380
Language:
English
Pages:
Online-Ressource (XIII, 225 p, digital)
Series Statement:
SpringerLink
Series Statement:
Bücher
Parallel Title:
Buchausg. u.d.T. Ecole d’Eté de Probabilités de Saint-Flour VIII-1978
Keywords:
Curriculum planning
;
Mathematics
;
Education
;
Curriculum planning
;
Education
;
Mathematics
Abstract:
For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teacher
Description / Table of Contents:
Brodie_Intro Part 1.pdf; Anchor 1; Brodie_Ch01.pdf; Chapter 1; Teaching Mathematical Reasoning: A Challenging Task; The Centrality of Mathematical Reasoning in Mathematics Education; Justifying and Generalizing; The Role of Proof in Mathematical Reasoning; Creativity and Reasoning; Theories of Learning and Mathematical Reasoning; Constructivism; Socio-Cultural Theories; Situated Theories; Teaching Mathematical Reasoning; Tasks for Mathematical Reasoning; Classroom Interaction; The Challenges of Teaching Mathematical Reasoning; Brodie_Ch02.pdf; Chapter 2; Contexts, Resources, and Reform
Description / Table of Contents:
Responses to ReformsThe South African Context; Five Schools: Contexts and Resources; Race and Socio-Economic Status; School Resources; Classroom Resources; Learner Knowledge; The Tasks; The Grade 11 Tasks; The Grade 10 Tasks; Brodie_Intro Part 2.pdf; Introduction to Part 2; Brodie_Ch03.pdf; Chapter 3; Mathematical Reasoning Through Tasks: Learners' Responses; Tasks that Support Mathematical Reasoning; Teaching for Mathematical Reasoning; The Classroom and the Tasks; Learners' Responses: An Overview; Learners' Responses: Detailed Analysis; Using the Contribution to Move Forward
Description / Table of Contents:
Pushing for Explanation of Particular IdeasConclusions and Implications; Brodie_Ch04.pdf; Chapter 4; Learning Mathematical Reasoning in a Collaborative Whole-Class Discussion; What Is Mathematical Reasoning?; Why Teach Mathematical Reasoning?; Collaborative Learning and Mathematical Reasoning; Summarizing My Perspective; My Classroom; The Analysis; Winile's Learning; Making Observations; Explaining and Justifying Assertions Made; Connecting Observations with Mathematical Representations; Reconstructing Conceptual Understanding; Testing Other Claims; The Teacher's Role; Establishing Discourse
Description / Table of Contents:
Framing DiscussionLesson Flow or Momentum; Conclusions and Implications; Brodie_Ch05.pdf; Chapter 5; Classroom Practices for Teaching and Learning Mathematical Reasoning; Classroom Practices; Learning Mathematical Reasoning; Teaching Mathematical Reasoning: Questioning and Listening; My Classroom; Teacher Moves and Practices; Learner Moves and Practices; Conclusions and Implications; Brodie_Ch06.pdf; Chapter 6; Teaching Mathematical Reasoning with the Five Strands; A Social-Constructivist Framework; Mathematical Practices and Proficiency; My Classroom and the Tasks; Initial Analysis
Description / Table of Contents:
Classroom InteractionLearners' Work; Procedural Fluency; Conceptual Understanding; Strategic Competence; Adaptive Reasoning; The Five Strands in the Learners' Work; Conclusion; Brodie_Ch07.pdf; Chapter 7; Teaching the Practices of Justification and Explanation; Construction and Practices; The Practices of Justification and Explanation; The Importance of Tasks; The Teacher's Contribution; My Classroom; The Learners' Written Responses; Whole-Class Interaction; Incorrect Justification; Partial Justification; Correct Justification; Conclusions; Brodie_Intro Part 3.pdf; Introduction to Part 3
Description / Table of Contents:
Brodie_Ch08.pdf
Note:
Includes bibliographies
DOI:
10.1007/978-0-387-09742-8
URL:
Volltext
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