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Mathematical understanding for secondary teaching : a framework and classroom-based situations

Author: Mary Kathleen Heid; Patricia S Wilson; Glendon W Blume
Publisher: Charlotte, NC : Copublished by NCTM (#15128) & IAP, Information Age Publishing, Inc., [2015]
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Mary Kathleen Heid; Patricia S Wilson; Glendon W Blume
ISBN: 9781681231136 1681231131 9781681231143 168123114X
OCLC Number: 909538887
Description: xiv, 456 pages : illustrations ; 25 cm
Contents: Background for the Mathematical Understanding Framework / Jeremy Kilpatrick --
Mathematical Understanding for Secondary Teaching: A Framework / Jeremy Kilpatrick, Glendon Blume, M. Kathleen Heid, James Wilson, Patricia Wilson, and Rose Mary Zbiek --
Development of Practice-Based Situations / Patricia Wilson and Rose Mary Zbiek --
From Situations to Framework / Patricia Wilson and M. Kathleen Heid --
Creating New Situations as Inquiry / Rose Mary Zbiek and Glendon Blume --
Summary of Uses of the Must Framework and Situations / James W. Wilson --
Division Involving Zero: Situation 1 From the MACMTL-CPTM Situations Project / Bradford Findell, Evan McClintock, Glendon Blume, Ryan Fox, Rose Mary Zbiek, and Brian Gleason --
Product of Two Negative Numbers: Situation 2 From the MACMTL-CPTM Situations Project / Ryan Fox, Sarah Donaldson, M. Kathleen Heid, Glendon Blume, and James Wilson --
Cross Multiplication: Situation 3 From the MACMTL-CPTM Situations Project / Rose Mary Zbiek, M. Kathleen Heid, Brian Gleason, and Shawn Broderick --
Summing the Natural Numbers: Situation 4 From the MACMTL-CPTM Situations Project / Shari Reed, AnnaMarie Conner, Ryan Fox, Shiv Karunakaran, M. Kathleen Heid, Evan McClintock, Heather Johnson, Kelly Edenfield, Jeremy Kilpatrick, and Eric Gold --
Modular Arithmetic: Situation 5 From the MACMTL-CPTM Situations Project / Pawel Nazarewicz, Glendon Blume, Heather Johnson, Svetlana Konnova, and Jeanne Shimizu --
Absolute Value Equations and Inequalities: Situation 6 From the MACMTL-CPTM Situations Project / Shari Reed, AnnaMarie Conner, Sarah Donaldson, Kanita DuCloux, Kelly Edenfield, and Eric Jacobson --
Absolute Value In Complex Plane: Situation 7 From the MACMTL-CPTM Situations Project / Heather Johnson, Shiv Karunakaran, Evan McClintock, Pawel Nazarewicz, Erik Jacobson, and Kelly Edenfield --
Properties of i and other Complex Number: Situation 8 From the MACMTL-CPTM Situations Project / Erik Tillema, Evan McClintock, M. Kathleen Heid, and Heather Johnson --
Square Root of i: Situation 9 From the MACMTL-CPTM Situations Project / Heather Johnson, Shiv Karunakaruan, Ryan Fox, and Evan McClintock --
Exponent Rules: Situation 10 From the MACMTL-CPTM Situations Project / Erik Tillema, Sarah Donaldson, Kelly Edenfield, James Wilson, Eileen Murray, and Glendon Blume --
Powers: Situation 11 From the MACMTL-CPTM Situations Project / Tracy Boone, Jana Lunt, Christa Fratto, James Banyas, Eileen Murray, Bob Allen, Sarah Donaldson, M. Kathleen Heid, Shiv Karunakaran, and Brian Gleason --
Zero Exponents: Situation 12 From the MACMTL-CPTM Situations Project / Tracy Boone, Christa Fratto, Jana Lunt, Heather Johnson, M. Kathleen Heid, Maureen Grady, and Shiv Karunakaran --
Multiplying Monomials and Binomials: Situation 13 From the MACMTL-CPTM Situations Project / Jeanne Shimizu, Tracy Boone, Jana Lunt, Christa Fratto, Erik Tillema, Jeremy Kilpatrick, Sarah Donaldson, Ryan Fox, Heather Johnson, Maureen Grady, Svetlana Konnova, and M. Kathleen Heid --
Adding Square Roots: Situation 14 From the MACMTL-CPTM Situations Project / Amy Hackenberg, Eileen Murray, Heather Johnson, Glendon Blume, and M. Kathleen Heid --
Square Roots: Situation 15 From the MACMTL-CPTM Situations Project / Tracy Boone, Jana Lunt, Christa Fratto, James Banyas, Sarah Donaldson, James Wilson, Patricia S. Wilson, Heather Johnson, and Brian Gleason --
Inverse Trigonometric Functions: Situation 16 From the MACMTL-CPTM Situations Project / Rose Mary Zbiek, M. Kathleen Heid, Ryan Fox, Kelly Edenfield, Jeremy Kilpatrick, Evan McClintock, Heather Johnson, and Brian Gleason --
Zero-Product Property: Situation 17 From the MACMTL-CPTM Situations Project / Jeanne Shimizu, Heather Johnson, Ryan Fox, Laura Singletary, and Sarah Donaldson --
Simultaneous Equations: Situation 18 From the MACMTL-CPTM Situations Project / Dennis Hembree, Erik Tillema, Evan McClintock, Rose Mary Zbiek, Heather Johnson, Patricia S. Wilson, James Wilson, and Ryan Fox. Graphing Inequalities Containing Absolute Values: Situation 19 From the MACMTL-CPTM Situations Project / Shari Reed, AnnaMarie Conner, M. Kathleen Heid, Heather Johnson, Maureen Grady, and Svetlana Konnova --
Solving Quadratic Equations: Situation 20 From the MACMTL-CPTM Situations Project / Jeanne Shimizu, Sarah Donaldson, Kelly Edenfield, and Erik Jacobson --
Graphing Quadratic Functions: Situation 21 From the MACMTL-CPTM Situations Project / Ginger Rhodes, Ryan Fox, Shiv Karunakaran, Rose Mary Zbiek, Brian Gleason, and Shawn Broderick --
Connecting Factoring With the Quadratic Formula: Situation 22 From the MACMTL-CPTM Situations Project / Erik Tillema, Heather Johnson, Sharon K. O'Kelley, Erik Jacobson, Glendon Blume, and M. Kathleen Heid --
Perfect-Square Trinomials: Situation 23 From the MACMTL-CPTM Situations Project / Bob Allen, Dennis Hembree, Sarah Donaldson, Brian Gleason, Shawn Broderick, M. Kathleen Heid, and Glendon Blume --
Temperature Conversion: Situation 24 From the MACMTL-CPTM Situations Project / Glendon Blume, Heather Johnson, Maureen Grady, Svetlana Konnova, and M. Kathleen Heid --
Translation of Functions: Situation 25 From the MACMTL-CPTM Situations Project / Bob Allen, Brian Gleason, and Shawn Broderick --
Parametric Drawings: Situation 26 From the MACMTL-CPTM Situations Project / Rose Mary Zbiek, Eileen Murray, Heather Johnson, Maureen Grady, Svetlana Konnova, and M. Kathleen Heid --
Locus of a Point on a Moving Segment: Situation 27 From the MACMTL-CPTM Situations Project / Rose Mary Zbiek, James Wilson, Heather Johnson, M. Kathleen Heid, Maureen Grady, and Svetlana Konnova --
Constructing a Tangent Line: Situation 28 From the MACMTL-CPTM Situations Project / Pawel Nazarewicz, Sharon K. O'Kelley, Erik Jacobson, Glendon Blume, and M. Kathleen Heid --
Faces of a Polyhedral Solid: Situational 29 From the MACMTL-CPTM Situations Project / Stephen Bismarck, Glendon Blume, Heather Johnson, Svetlana Konnova, and Jeanne Shimizu --
Area of Plane Figures: Situation 30 From the MACMTL-CPTM Situations Project / Erik Tillema, Tenille Cannon, Kim Johnson, and Rose Mary Zbiek --
Area of Sectors of a Circle: Situation 31 From the MACMTL-CPTM Situations Project / Dennis Hembree, Sharon K. O'Kelley, Shawn Broderick, and James Wilson --
Similarity: Situation 32 From the MACMTL-CPTM Situations Project / Evan McClintock, Susan Peters, Donna Kinol, Shari Reed, Heather Johnson, Erik Tillema, Rose Mary Zbiek, M. Kathleen Heid, Sarah Donaldson, Eileen Murray, and Glendon Blume --
Pythagorean Theorem: Situation 33 From the MACMTL-CPTM Situations Project / Patrick Sullivan, M. Kathleen Heid, Maureen Grady, and Shiv Karunakaran --
Circumscribing Polygons: Situation 34 From the MACMTL-CPTM Situations Project / Shari Reed, AnnaMarie Conner, Heather Johnson, M. Kathleen Heid, Bob Allen, Shiv Karunakaran, Sarah Donaldson, and Brian Gleason --
Calculation of Sine: Situation 35 From the MACMTL-CPTM Situations Project / Patricia S. Wilson, Heather Johnson, Jeanne Shimizu, Evan McClintock, Rose Mary Zbiek, M. Kathleen Heid, Maureen Grady, and Svetlana Konnova --
Graphing Sin(2x): Situation 36 From the MACMTL-CPTM Situations Project / Heather Johnson, Evan McClintock, Rose Mary Zbiek, Brian Gleason, Shawn Broderick, and James Wilson --
Trigonometric Identities: Situation 37 From the MACMTL-CPTM Situations Project / Bob Allen, Sharon K. O'Kelley, and Erik Jacobson --
Mean and Median: Situation 38 From the MACMTL-CPTM Situations Project / Susan Peters, Evan McClintock, Donna Kinol, Shiv Karunakaran, Rose Mary Zbiek, M. Kathleen Heid, Laura Singletary, and Sarah Donaldson --
Representing Standard Deviation: Situation 39 From the MACMTL-CPTM Situations Project / Rose Mary Zbiek, M. Kathleen Heid, Shiv Karunakaran, Ryan Fox, Eric Gold, Sarah Donaldson, and Laura Singletary --
Sample Variance and Population Variance: Situation 40 From the MACMTL-CPTM Situations Project / Ken Montgomery and Sarah Donaldson --
Least Squares Regression: Situation 41 From the MACMTL-CPTM Situations Project / Susan Peters, Evan McClintock, Donna Kinol, Maureen Grady, Heather Johnson, Svetlana Konnova, and M. Kathleen Heid --
The Product Rule for Differentiation: Situation 42 From the MACMTL-CPTM Situations Project / Heather Johnson, Shari Reed, Evan McClintock, Erik Jacobson, and Kelly Edenfield --
Proof by Mathematical Induction: Situation 43 From the MACMTL-CPTM Situations Project / Erik Tillema, Jeremy Kilpatrick, Heather Johnson, Maureen Grady, Svetlana Konnova, and M. Kathleen Heid --
Situating and Reflecting on Our Situations Work / M. Kathleen Heid.
Responsibility: edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume.

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