Coverart for item
The Resource Making the Connection : Research and Teaching in Undergraduate Mathematics Education, edited by Marilyn P. Carlson, Chris Rasmussen

Making the Connection : Research and Teaching in Undergraduate Mathematics Education, edited by Marilyn P. Carlson, Chris Rasmussen

Label
Making the Connection : Research and Teaching in Undergraduate Mathematics Education
Title
Making the Connection
Title remainder
Research and Teaching in Undergraduate Mathematics Education
Statement of responsibility
edited by Marilyn P. Carlson, Chris Rasmussen
Contributor
Subject
Genre
Language
eng
Member of
Cataloging source
COO
Dewey number
510.71
Index
index present
LC call number
QA11.2
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Carlson, Marilyn P
  • Rasmussen, Chris
Series statement
Notes
Series volume
v. 73
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • Mathematics
  • Mathematics
  • MATHEMATICS
  • Mathematics
  • Mathematics
Label
Making the Connection : Research and Teaching in Undergraduate Mathematics Education, edited by Marilyn P. Carlson, Chris Rasmussen
Link
http://dx.doi.org/10.5948/UPO9780883859759
Instantiates
Publication
Note
Title from publishers bibliographic system (viewed 30 Jan 2012)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • ""Cover ""; ""copyright page ""; ""Title page ""; ""Preface""; ""Contents""; ""Part I Student Thinking""; ""a. Foundations for Beginning Calculus""; ""1 On Developing a Rich Conception of Variable""; ""Introduction""; ""Analysis of Problem 1""; ""Analysis of Problem 2""; ""Analysis of Problem 3""; ""Research Literature About Studentsâ€? Conceptions of Variable""; ""Superficial Conceptions""; ""Varying Uses of Variable""; ""Parameters""; ""Changing Quantity, Dynamic versus Static Imagery, and Joint Variation""; ""Possible Explanations""; ""Historical Development: Shifts Over The Ages""
  • ""Calculational Attitude""""Lack of Rich Curricular Material""; ""Interventions and Promising Results""; ""A Call To Action""; ""Practical Suggestions""; ""Concluding Remarks""; ""References""; ""2 Rethinking Change""; ""Perspectives on Models""; ""Rates of Change in Realistic Contexts""; ""Making Sense of Realistic Data""; ""Making Realistic Sense of Graphs""; ""Connecting Teaching and Research""; ""References""; ""3 Foundational Reasoning Abilities that Promote Coherence in Studentsâ€? Function Understanding""; ""Why Is The Function Concept So Important?""
  • ""Why is the Function Concept So Difficult for Students to Understand?""""Dynamic Conceptualizations Needed for Understanding and Using Functions""; ""The Action and Process Views of Functions â€? A More Formal Examination""; ""Fostering a Process View of Functions""; ""Building on the Process View of Function: Applying Covariational Reasoning""; ""The Covariation Framework""; ""Engaging Covariational Reasoning Through Analysis Of Function Situations""; ""Extending Ideas of Covariation To Higher Dimensions""; ""Concluding Remarks""; ""References""
  • ""4 The Concept of Accumulation in Calculus""""Composition of a Well-Structured Understanding of Accumulation Functions""; ""Accumulation Functions""; ""Riemann Sums""; ""Studentsâ€? Difficulties in Understanding Accumulation Mathematically""; ""Promising Approaches In Helping Students Conceptualize Accumulation Functions""; ""Studentsâ€? Understandings of Accumulation Functions within the Calculus as a Whole""; ""Connections with Other Ideas""; ""Conclusion""; ""References""; ""b. Infinity, Limit, and Divisibility""; ""5 Developing Notions of Infinity""; ""Comparing Infinite Sets""
  • ""Limits of Sequences""""Infinite Iterative Processes""; ""Conclusion""; ""References""; ""6 Layers of Abstraction: Theory and Design for theInstruction of Limit Concepts""; ""The Nature and Process of Abstraction""; ""Goals for Teaching Limits""; ""A Design Approach to Limit Instruction""; ""Summary""; ""References""; ""7 Divisibility and Transparency of Number Representations""; ""Snapshots from Research""; ""Example 1""; ""Example 2""; ""Example 3""; ""Example 4""; ""Example 5""; ""Reflecting On Examples""; ""Formalization of “Seeingâ€?""; ""More Examples from Research""; ""Example 6""
Control code
ocn775429058
Extent
1 online resource.
Form of item
online
Isbn
9780883859759
Media category
computer
Media MARC source
rdamedia
Media type code
c
Specific material designation
remote
Stock number
22573/ctt57m9wb
System control number
  • (Sirsi) o775429058
  • (OCoLC)775429058
Label
Making the Connection : Research and Teaching in Undergraduate Mathematics Education, edited by Marilyn P. Carlson, Chris Rasmussen
Link
http://dx.doi.org/10.5948/UPO9780883859759
Publication
Note
Title from publishers bibliographic system (viewed 30 Jan 2012)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • ""Cover ""; ""copyright page ""; ""Title page ""; ""Preface""; ""Contents""; ""Part I Student Thinking""; ""a. Foundations for Beginning Calculus""; ""1 On Developing a Rich Conception of Variable""; ""Introduction""; ""Analysis of Problem 1""; ""Analysis of Problem 2""; ""Analysis of Problem 3""; ""Research Literature About Studentsâ€? Conceptions of Variable""; ""Superficial Conceptions""; ""Varying Uses of Variable""; ""Parameters""; ""Changing Quantity, Dynamic versus Static Imagery, and Joint Variation""; ""Possible Explanations""; ""Historical Development: Shifts Over The Ages""
  • ""Calculational Attitude""""Lack of Rich Curricular Material""; ""Interventions and Promising Results""; ""A Call To Action""; ""Practical Suggestions""; ""Concluding Remarks""; ""References""; ""2 Rethinking Change""; ""Perspectives on Models""; ""Rates of Change in Realistic Contexts""; ""Making Sense of Realistic Data""; ""Making Realistic Sense of Graphs""; ""Connecting Teaching and Research""; ""References""; ""3 Foundational Reasoning Abilities that Promote Coherence in Studentsâ€? Function Understanding""; ""Why Is The Function Concept So Important?""
  • ""Why is the Function Concept So Difficult for Students to Understand?""""Dynamic Conceptualizations Needed for Understanding and Using Functions""; ""The Action and Process Views of Functions â€? A More Formal Examination""; ""Fostering a Process View of Functions""; ""Building on the Process View of Function: Applying Covariational Reasoning""; ""The Covariation Framework""; ""Engaging Covariational Reasoning Through Analysis Of Function Situations""; ""Extending Ideas of Covariation To Higher Dimensions""; ""Concluding Remarks""; ""References""
  • ""4 The Concept of Accumulation in Calculus""""Composition of a Well-Structured Understanding of Accumulation Functions""; ""Accumulation Functions""; ""Riemann Sums""; ""Studentsâ€? Difficulties in Understanding Accumulation Mathematically""; ""Promising Approaches In Helping Students Conceptualize Accumulation Functions""; ""Studentsâ€? Understandings of Accumulation Functions within the Calculus as a Whole""; ""Connections with Other Ideas""; ""Conclusion""; ""References""; ""b. Infinity, Limit, and Divisibility""; ""5 Developing Notions of Infinity""; ""Comparing Infinite Sets""
  • ""Limits of Sequences""""Infinite Iterative Processes""; ""Conclusion""; ""References""; ""6 Layers of Abstraction: Theory and Design for theInstruction of Limit Concepts""; ""The Nature and Process of Abstraction""; ""Goals for Teaching Limits""; ""A Design Approach to Limit Instruction""; ""Summary""; ""References""; ""7 Divisibility and Transparency of Number Representations""; ""Snapshots from Research""; ""Example 1""; ""Example 2""; ""Example 3""; ""Example 4""; ""Example 5""; ""Reflecting On Examples""; ""Formalization of “Seeingâ€?""; ""More Examples from Research""; ""Example 6""
Control code
ocn775429058
Extent
1 online resource.
Form of item
online
Isbn
9780883859759
Media category
computer
Media MARC source
rdamedia
Media type code
c
Specific material designation
remote
Stock number
22573/ctt57m9wb
System control number
  • (Sirsi) o775429058
  • (OCoLC)775429058

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