Mathematical understanding for secondary teaching: a framework and classroom-based situations
Gespeichert in:
Weitere Verfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Charlotte, NC
Information Age Publishing, Inc.
[2015]
[Reston, VA] NCTM [2015] |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | xiv, 456 Seiten Illustrationen |
ISBN: | 9781681231136 9781681231143 |
Internformat
MARC
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020 | |a 9781681231143 |c (hardcover) |9 978-1-68123-114-3 | ||
035 | |a (OCoLC)935325583 | ||
035 | |a (DE-599)BVBBV043652587 | ||
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245 | 1 | 0 | |a Mathematical understanding for secondary teaching |b a framework and classroom-based situations |c edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume |
264 | 1 | |a Charlotte, NC |b Information Age Publishing, Inc. |c [2015] | |
264 | 1 | |a [Reston, VA] |b NCTM |c [2015] | |
300 | |a xiv, 456 Seiten |b Illustrationen | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
700 | 1 | |a Heid, Mary Kathleen |4 edt | |
700 | 1 | |a Wilson, Patricia S. |4 edt | |
700 | 1 | |a Blume, Glendon W. |4 edt | |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-68123-115-0 |
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Datensatz im Suchindex
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adam_text | CONTENTS
Preface.........................................................vii
1 . Background for the Mathematical Understanding Framework............1
Jeremy Kilpatrick
2. Mathematical Understanding for Secondary Teaching: A
Framework........................................................9
Jeremy Kilpatrick, Glendon Blume, M Kathleen Heid,
James Wilson, Patricia Wilson, and Rose Mary Zbiek
3. Development of Practice-Based Situations..........................31
Patricia Wilson and Rose Mary Zbiek
4. From Situations to Framework......................................41
Patricia Wilson and M. Kathleen Heid
5. Creating New Situations as Inquiry................................57
Rose Mary Zbiek and Glendon Blume
6. Summary of Uses of the Must Framework and Situations..............65
James W Wilson
7. Division Involving Zero: Situation 1 From the MACMTL-
CPTM Situations Project..........................................95
Bradford Findell, Evan McClintock, Glendon Blume,
Ryan Fox, Rose Mary Zbiek, and Brian Gleason
v
Contents • vii
17. Powers: Situation 11 From the MACMTL-CPTM Situations
Project..................................................185
Tracy Boone, Jana Lunt, Christa Fratto, James Banyas,
Eileen Murray, Bob Allen, Sarah Donaldson,
M. Kathleen Heid, Shiv Karunakaran, and Brian Gleason
18. Zero Exponents: Situation 12 From the MACMTL-CPTM
Situations Project.......................................191
Tracy Boone, Christa Fratto, Jana Lunt, Heather Johnson,
M. Kathleen Heid, Maureen Grady, and Shiv Karunakaran
19. Multiplying Monomials and Binomials: Situation 13 From the
MACMTL-CPTM Situations Project................... 199
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
20. Adding Square Roots: Situation 14 From the MACMTL-CPTM
Situations Project................................... 207
Amy Hackenberg, Eileen Murray, Heather Johnson,
Glendon Blume, and M. Kathleen Heid
21. Square Roots: Situation 15 From the MACMTL-CPTM
Situations Project.......................................211
Tracy Boone, Jana Lunt, Christa Fratto, James Banyas,
Sarah Donaldson, James Wilson, Patricia S. Wilson,
Heather Johnson, and Brian Gleason
22. Inverse Trigonometric Functions: Situation 16 From the
MACMTL-CPTM Situations Project...........................217
Rose Mary Zbiek, M. Kathleen Heid Ryan Fox,
Kelly Edenfield, Jeremy Kilpatrick, Evan McClintock,
Heather Johnson, and Brian Gleason
23. Zero-Product Property: Situation 17 From the MACMTL-
CPTM Situations Project..................................223
Jeanne Shimizu, Heather Johnson, Ryan Fox,
Laura Singletary, and Sarah Donaldson
24. Simultaneous Equations: Situation 18 From the MACMTL-
CPTM Situations Project..................................229
Dennis Hembree, Erik Tillema, Evan McClintock, Rose Mary
Zbiek, Heather Johnson, Patricia S. Wilson, James Wilson, and Ryan Fox
Contents • vil
17. Powers: Situation 11 From the MACMTL—CPTM Situations
Project .................................................185
Tracy Boone, Jana Lunt, Christa Fratto, James Banyas,
Eileen Murray, Bob Allen, Sarah Donaldson,
M Kathleen Heid, Shiv Karunakaran, and Brian Gleason
18. Zero Exponents: Situation 12 From the MACMTL-CPTM
Situations Project.......................................191
Tracy Boone, Christa Fratto, Jana Lunt, Heather Johnson,
M. Kathleen Heid, Maureen Grady, and Shiv Karunakaran
19. Multiplying Monomials and Binomials: Situation 13 From the
MACMTL-CPTM Situations Project......................199
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
20. Adding Square Roots: Situation 14 From the MACMTL-CPTM
Situations Project...................................... 207
Amy Hackenberg, Eileen Murray, Heather Johnson,
Glendon Blume, and M. Kathleen Heid
21. Square Roots: Situation 15 From the MACMTL-CPTM
Situations Project........................................211
Tracy Boone, Jana Lunt, Christa Fratto, James Banyas,
Sarah Donaldson, James Wilson, Patricia S. Wilson,
Heather Johnson, and Brian Gleason
22. Inverse Trigonometric Functions: Situation 16 From the
MACMTL-CPTM Situations Project............................217
Rose Mary Zbiek, M. Kathleen Heid, Ryan Fox,
Kelly Edenfield, Jeremy Kilpatrick, Evan McClintock,
Heather Johnson, and Brian Gleason
23. Zero-Product Property: Situation 17 From the MACMTL-
CPTM Situations Project...................................223
Jeanne Shimizu, Heather Johnson, Ryan Fox,
Laura Singletary, and Sarah Donaldson
24. Simultaneous Equations: Situation 18 From the MACMTL-
CPTM Situations Project...................................229
Dennis Hembree, Erik Tillema, Evan McClintock, Rose Mary
Zbiek, Heather Johnson, Patricia S. Wilson, James Wilson, and Ryan Fox
• CONTENTS
25. Graphing Inequalities Containing Absolute Values: Situation 19
From the MACMTL-CPTM Situations Project.................239
Shari Reed, AnnaMarie Conner, M. Kathleen Heid
Heather Johnson, Maureen Grady, and Svetlana Konnova
26. Solving Quadratic Equations: Situation 20 From the
MACMTL-CPTM Situations Project...........................249
Jeanne Shimizu, Sarah Donaldson,
Kelly Edenfield, and Erik Jacobson
27. Graphing Quadratic Functions: Situation 21 From the
MACMTL-CPTM Situations Project...........................257
Ginger Rhodes, Ryan Fox, Shiv Karunakaran,
Rose Mary Zbiek, Brian Gleason, and Shawn Broderick
28. Connecting Factoring With the Quadratic Formula: Situation
22 From the MACMTL-CPTM Situations Project...............263
Erik Tillema, Heather Johnson, Sharon K. O Kelley,
Erik Jacobson, Glendon Blume, and M. Kathleen Heid
29. Perfect-Square Trinomials: Situation 23 From the MACMTL-
CPTM Situations Project..................................277
Bob Allen, Dennis Hembree, Sarah Donaldson, Brian Gleason,
Shawn Broderick, M. Kathleen Heid and Glendon Blume
30. Temperature Conversion: Situation 24 From the MACMTL-
CPTM Situations Project..................................283
Glendon Blume, Heather Johnson, Maureen Grady,
Svetlana Konnova, and M. Kathleen Heid
31. Translation of Functions: Situation 25 From the MACMTL-
CPTM Situations Project................................ 293
Bob Allen, Brian Gleason, and Shawn Broderick
32. Parametric Drawings: Situation 26 From the MACMTL-
CPTM Situations Project................................ 299
Rose Mary Zbiek, Eileen Murray, Heather Johnson,
Maureen Grady, Svetlana Konnova, and M. Kathleen Heid
33. Locus of a Point on a Moving Segment: Situation 27 From the
MACMTL-CPTM Situations Project...........................307
Rose Mary Zbiek, James Wilson, Heather Johnson, M. Kathleen
Heid, Maureen Grady, and Svetlana Konnova
Contents • ix
34. Constructing a Tangent Line: Situation 28 From the
MACMTL-CPTM Situations Project.............................317
Pawel Nazar ewicz, Sharon K O’Kelley, Erik Jacobson,
Glendon Blume, and M Kathleen Heid
35. Faces of a Polyhedral Solid: Situation 29 From the MACMTL-
CPTM Situations Project....................................323
Stephen Bismarck, Glendon Blume, Heather Johnson,
Svetlana Konnova, and Jeanne Shimizu
36. Area of Plane Figures: Situation 30 From the MACMTL-
CPTM Situations Project............................................329
Erik Tillema, Tenille Cannon, Kim Johnson, and Rose Mary Zbiek
37. Area of Sectors of a Circle: Situation 31 From the MACMTL-
CPTM Situations Project............................................337
Dennis Hembree, Sharon K. O Kelley,
Shawn Broderick, and James Wilson
38. Similarity: Situation 32 From the MACMTL-CPTM
Situations Project..............................................343
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
39. Pythagorean Theorem: Situation 33 From the MACMTL-
CPTM Situations Project.........................................351
Patrick Sullivan, M. Kathleen Heid,
Maureen Grady, and Shiv Karunakaran
40. Circumscribing Polygons: Situation 34 From the MACMTL-
CPTM Situations Project.........................................365
Shari Reed, AnnaMarie Conner, Heather Johnson,
M. Kathleen Heid, Bob Allen, Shiv Karunakaran,
Sarah Donaldson, and Brian Gleason
41. Calculation of Sine: Situation 35 From the MACMTL-CPTM
Situations Project..............................................377
Patricia S. Wilson, Heather Johnson, Jeanne Shimizu, Evan
McClintock, Rose Mary Zbiek, M. Kathleen Heid, Maureen Grady,
and Svetlana Konnova
x • CONTENTS
42. Graphing Sin(2x): Situation 36 From the MACMTL-CPTM
Situations Project......................................385
Heather Johnson, Evan McClintock, Æose Mary Zbiek,
Brian Gleason, Shawn Broderick, and James Wilson
43. Trigonometric Identities: Situation 37 From the MACMTL-
CPTM Situations Project............................... 391
Bob Allen, Sharon K. O’Kelley, and Erik Jacobson
44. Mean and Median: Situation 38 From the MACMTL-CPTM
Situations Project.................................... 397
Susan Peters, Evan McClintock, Donna Kinol, Shiv Karunakaran,
Rose Mary Zbiek, M Kathleen Heid,
Laura Singletary; and Sarah Donaldson
45. Representing Standard Deviation: Situation 39 From the
MACMTL-CPTM Situations Project..........................405
Rose Mary Zbiek, M. Kathleen Heid, Shiv Karunakaran,
Ryan Fox, Eric Gold, Sarah Donaldson, and Laura Singletary
46. Sample Variance and Population Variance: Situation 40 From
the MACMTL-CPTM Situations Project......................415
Ken Montgomery and Sarah Donaldson
47. Least Squares Regression: Situation 41 From the MACMTL-
CPTM Situations Project.................................421
Susan Peters, Evan McClintock, Donna Kinol, Maureen Grady,
Heather Johnson, Svetlana Konnova, and M. Kathleen Heid
48. The Product Rule for Differentiation: Situation 42 From the
MACMTL-CPTM Situations Project..........................425
Heather Johnson, Shari Reed, Evan McClintock,
Erik Jacobson, and Kelly Edenfield
49. Proof by Mathematical Induction: Situation 43 From the
MACMTL-CPTM Situations Project...........................433
Erik Tillema, Jeremy Kilpatrick, Heather Johnson, Maureen Grady,
Svetlana Konnova, and M. Kathleen Heid
50. Situating and Reflecting on Our Situations Work.........443
M. Kathleen Heid
Appendix: Conference Participants
453
|
any_adam_object | 1 |
author2 | Heid, Mary Kathleen Wilson, Patricia S. Blume, Glendon W. |
author2_role | edt edt edt |
author2_variant | m k h mk mkh p s w ps psw g w b gw gwb |
author_facet | Heid, Mary Kathleen Wilson, Patricia S. Blume, Glendon W. |
building | Verbundindex |
bvnumber | BV043652587 |
classification_rvk | SM 630 |
ctrlnum | (OCoLC)935325583 (DE-599)BVBBV043652587 |
dewey-full | 510.712 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510.712 |
dewey-search | 510.712 |
dewey-sort | 3510.712 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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spelling | Mathematical understanding for secondary teaching a framework and classroom-based situations edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume Charlotte, NC Information Age Publishing, Inc. [2015] [Reston, VA] NCTM [2015] xiv, 456 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Heid, Mary Kathleen edt Wilson, Patricia S. edt Blume, Glendon W. edt Erscheint auch als Online-Ausgabe 978-1-68123-115-0 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029066159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Mathematical understanding for secondary teaching a framework and classroom-based situations |
title | Mathematical understanding for secondary teaching a framework and classroom-based situations |
title_auth | Mathematical understanding for secondary teaching a framework and classroom-based situations |
title_exact_search | Mathematical understanding for secondary teaching a framework and classroom-based situations |
title_full | Mathematical understanding for secondary teaching a framework and classroom-based situations edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume |
title_fullStr | Mathematical understanding for secondary teaching a framework and classroom-based situations edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume |
title_full_unstemmed | Mathematical understanding for secondary teaching a framework and classroom-based situations edited by M. Kathleen Heid and Patricia S. Wilson, with Glendon W. Blume |
title_short | Mathematical understanding for secondary teaching |
title_sort | mathematical understanding for secondary teaching a framework and classroom based situations |
title_sub | a framework and classroom-based situations |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029066159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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