Author: Sonja Lee Goerdt
Publisher:
ISBN:
Category :
Languages : en
Pages : 326
Book Description
The Effect of Emphasizing Multiple Representations on Calculus Student's Understanding of the Derivative Concept
Teaching and Learning of Calculus
Author: David Bressoud
Publisher: Springer
ISBN: 3319329758
Category : Education
Languages : en
Pages : 44
Book Description
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Publisher: Springer
ISBN: 3319329758
Category : Education
Languages : en
Pages : 44
Book Description
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Dissertation Abstracts International
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 732
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 732
Book Description
Multiple Representations in Physics Education
Author: David F. Treagust
Publisher: Springer
ISBN: 3319589148
Category : Science
Languages : en
Pages : 329
Book Description
This volume is important because despite various external representations, such as analogies, metaphors, and visualizations being commonly used by physics teachers, educators and researchers, the notion of using the pedagogical functions of multiple representations to support teaching and learning is still a gap in physics education. The research presented in the three sections of the book is introduced by descriptions of various psychological theories that are applied in different ways for designing physics teaching and learning in classroom settings. The following chapters of the book illustrate teaching and learning with respect to applying specific physics multiple representations in different levels of the education system and in different physics topics using analogies and models, different modes, and in reasoning and representational competence. When multiple representations are used in physics for teaching, the expectation is that they should be successful. To ensure this is the case, the implementation of representations should consider design principles for using multiple representations. Investigations regarding their effect on classroom communication as well as on the learning results in all levels of schooling and for different topics of physics are reported. The book is intended for physics educators and their students at universities and for physics teachers in schools to apply multiple representations in physics in a productive way.
Publisher: Springer
ISBN: 3319589148
Category : Science
Languages : en
Pages : 329
Book Description
This volume is important because despite various external representations, such as analogies, metaphors, and visualizations being commonly used by physics teachers, educators and researchers, the notion of using the pedagogical functions of multiple representations to support teaching and learning is still a gap in physics education. The research presented in the three sections of the book is introduced by descriptions of various psychological theories that are applied in different ways for designing physics teaching and learning in classroom settings. The following chapters of the book illustrate teaching and learning with respect to applying specific physics multiple representations in different levels of the education system and in different physics topics using analogies and models, different modes, and in reasoning and representational competence. When multiple representations are used in physics for teaching, the expectation is that they should be successful. To ensure this is the case, the implementation of representations should consider design principles for using multiple representations. Investigations regarding their effect on classroom communication as well as on the learning results in all levels of schooling and for different topics of physics are reported. The book is intended for physics educators and their students at universities and for physics teachers in schools to apply multiple representations in physics in a productive way.
Problems of Representation in the Teaching and Learning of Mathematics
Author: Université du Québec à Montréal. Centre interdisciplinaire de recherche sur l'apprentissage et le développement en éducation
Publisher: Hillsdale, N.J. : L. Erlbaum Associates
ISBN:
Category : Education
Languages : en
Pages : 268
Book Description
Papers derived from a symposium organized by CIRADE of Université du Québec à Montréal.
Publisher: Hillsdale, N.J. : L. Erlbaum Associates
ISBN:
Category : Education
Languages : en
Pages : 268
Book Description
Papers derived from a symposium organized by CIRADE of Université du Québec à Montréal.
The Effect of Graphing Calculator Use and the Lesh Translation Model on Student Understanding of the Graphical Relationship Between Function and Derivative in a Nonrigorous Calculus Course
Author: Donald Patrick Kinney
Publisher:
ISBN:
Category : Graphic calculators
Languages : en
Pages : 656
Book Description
Publisher:
ISBN:
Category : Graphic calculators
Languages : en
Pages : 656
Book Description
Learning and Understanding
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309074401
Category : Education
Languages : en
Pages : 589
Book Description
This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.
Publisher: National Academies Press
ISBN: 0309074401
Category : Education
Languages : en
Pages : 589
Book Description
This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.
The Relationship Between College Calculus Students' Understanding of Function and Their Understanding of Derivative
Handbook of Research on the Psychology of Mathematics Education
Author: Angel Gutiérrez
Publisher: Sense Publishers
ISBN: 9077874194
Category : Education
Languages : en
Pages : 538
Book Description
Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.
Publisher: Sense Publishers
ISBN: 9077874194
Category : Education
Languages : en
Pages : 538
Book Description
Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.
The Development of Multiplicative Reasoning in the Learning of Mathematics
Author: Guershon Harel
Publisher: SUNY Press
ISBN: 9780791417638
Category : Education
Languages : en
Pages : 448
Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.
Publisher: SUNY Press
ISBN: 9780791417638
Category : Education
Languages : en
Pages : 448
Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.