Affect in Mathematical Modeling 1st edition by Scott Chamberlin ISBN 3030044319 973030044312

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Product details:

ISBN 10:  3030044319
ISBN 13: 978-3030044312
Author:      Scott A. Chamberlin

Affect in Mathematical Modeling 1st Table of contents:

Section I: Commentary

1. Commentary on Affect, Cognition, and Metacognition in Mathematical Modelling

   • Overview and insights on the role of affect (emotions) and metacognition (thinking about thinking) in mathematical modelling.

2. Commentary: The What and Why of Modeling

   • A discussion on the essence and importance of mathematical modelling.

3. Commentary: Engaging Students in Mathematical Modeling – Themes and Issues

   • Exploration of the challenges and strategies in engaging students with mathematical modelling.

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Chapter 1: The Construct of Affect in Mathematical Modelling

• Examines how emotions and feelings (affect) influence students’ engagement with mathematical modelling.

Chapter 2: Metacognition in Mathematical Modelling – An Overview

• Provides an overview of metacognitive processes involved in mathematical modelling.

Chapter 3: Principles for Designing Research Settings to Study Spontaneous Metacognitive Activity

• Guidelines for creating environments that encourage and observe spontaneous metacognitive thinking during modelling tasks.

Chapter 4: Engagement Structures and the Development of Mathematical Ideas

• Investigates how different structures of engagement contribute to the development of mathematical understanding and ideas.

Chapter 5: Exploring a Conative Perspective on Mathematical Engagement

• Looks at the role of volitional (willful) aspects of learning, such as motivation and effort, in mathematical engagement.

Chapter 6: Exploring Teachers’ Epistemic Beliefs and Emotions in Inquiry-Based Teaching of Mathematics

• Explores how teachers’ beliefs about knowledge and their emotional responses shape inquiry-based teaching practices in mathematics.

Chapter 7: Mathematics Learning Experiences: The Practice of Happiness and the Happiness of Practice

• Discusses the intersection of emotional well-being and mathematical learning experiences.

Chapter 8: Development of Modelling Routines and Its Relation to Identity Construction

• Investigates how the development of modelling practices relates to students’ construction of mathematical identities.

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Section II: Connections to Theory and Practice

Commentary on Section III: Connections to Theory and Practice

• A reflection on the connection between theoretical concepts and their practical applications in mathematical modelling.

Chapter 9: Flow and Mathematical Modelling: Issues of Balance

• Examines the relationship between the psychological state of flow and mathematical modelling, focusing on achieving a balanced experience.

Chapter 10: The Complex Relationship Between Mathematical Modelling and Attitude Toward Mathematics

• Explores how mathematical modelling impacts students’ attitudes toward mathematics, both positively and negatively.

Chapter 11: Teaching Modelling Problems and Its Effects on Students’ Engagement and Attitude Toward Mathematics

• Investigates how teaching modelling problems influences students’ engagement with and attitudes toward mathematics.

Chapter 12: Affect and Mathematical Modelling Assessment – A Case Study on Students’ Experience of Challenge and Flow During a Compulsory Mathematical Modelling Task by Engineering Students

• A case study exploring how affect, challenge, and the state of flow influence students’ experiences during mathematical modelling assessments.

Chapter 13: Flow and Modelling

• A deeper dive into the concept of flow as it relates to mathematical modelling, focusing on the factors that influence it.

Chapter 14: A Coda on Affect

• Concludes the discussion with final thoughts on the role of affect in mathematical modelling and learning.

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