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Mathematics Education (algebra, calculus)

Patrick Thompson grew up in a farming community (350 people) in southwestern Washington State, enjoying all the advantages of being young in the country. After finishing college in 1972 he joined the Peace Corps, eventually working with the African Mathematics Programme--and becoming interested in mathematics education. In graduate school he specialized in research on mathematical cognition and uses of technology in learning/teaching mathematics, and have continued these interests since.

**Other Interesting Sites**

Course Number | Course Title |
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MTE 430 | Dvpmt of Mathematical Thinking |

MTE 590 | Reading and Conference |

MTE 598 | Special Topics |

MTE 784 | Internship |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
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MTE 598 | Special Topics |

MTE 792 | Research |

MTE 795 | Continuing Registration |

Course Number | Course Title |
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MTE 320 | Fnd of 7-12 Math Curr Assess |

MTE 598 | Special Topics |

MTE 784 | Internship |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
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MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 795 | Continuing Registration |

MTE 590 | Reading and Conference |

MTE 598 | Special Topics |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MTE 792 | Research |

Course Number | Course Title |
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MAT 493 | Honors Thesis |

MAT 591 | Seminar |

MTE 590 | Reading and Conference |

MTE 598 | Special Topics |

MTE 599 | Thesis |

MTE 784 | Internship |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 591 | Seminar |

MTE 598 | Special Topics |

MTE 792 | Research |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MTE 792 | Research |

Course Number | Course Title |
---|---|

MTE 784 | Internship |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 795 | Continuing Registration |

MTE 590 | Reading and Conference |

MTE 792 | Research |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MTE 792 | Research |

Course Number | Course Title |
---|---|

MAT 795 | Continuing Registration |

MTE 493 | Honors Thesis |

MTE 499 | Individualized Instruction |

MTE 590 | Reading and Conference |

MTE 592 | Research |

MTE 598 | Special Topics |

MTE 784 | Internship |

MTE 792 | Research |

MTE 795 | Continuing Registration |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MAT 270 | Calculus w/Analytic Geometry I |

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 795 | Continuing Registration |

MTE 294 | Special Topics |

MTE 493 | Honors Thesis |

MTE 590 | Reading and Conference |

MTE 592 | Research |

MTE 598 | Special Topics |

MTE 792 | Research |

MTE 799 | Dissertation |

Course Number | Course Title |
---|---|

MTE 792 | Research |

Course Number | Course Title |
---|---|

MAT 270 | Calculus w/Analytic Geometry I |

MAT 795 | Continuing Registration |

MTE 598 | Special Topics |

MTE 792 | Research |

Conceptual issues in understanding the inner logic of statistical inference: Insights from two teaching experiments. Journal of Mathematical Behavior (2014).

.Students' images of two-variable functions and their graphs.. Educational Studies in Mathematics (2014).

.Book chapter: Schemes for thinking with magnitudes: A hypothesis about foundational reasoning abilities in algebra.. Epistemic algebra students: Emerging models of students' algebraic reasoning. WISDOMe Monographs. University of Wyoming (2014).

.Secondary teachers' relative size schemes. Psychology of Mathematics Education (2014).

.Function notation as idiom. Psychology of Mathematics Education (2014).

.A methodology of investigating teachers' mathematical meanings for teaching. Psychology of Mathematics Educaton (2014).

.Teachers' meanings for function notation. Psychology of Mathematics Education (2014).

.Constructivism in mathematics education. Encyclopedia of Mathematics Education [online]. Springer (2013).

.A conceptual approach to calculus made possible by technology. Computers in the Schools (2013).

."Why use f(x) when all we really mean is y?". Oncore: The Online Journal of the AAMT (2013).

.Book chapter: In the absence of meaning. Vital directions in mathematics education research. Springer (2013).

.Book chapter: Collaboration between mathematics and mathematics education.. Mathematics and mathematics education: Searching for common ground.. Springer (2013).

.Introducing the derivative via calculus triangles. The Mathematics Teacher (2012).

.Book chapter: Advances in research on quantitative reasoning. Quantitative reasoning: Current state of understanding. WISDOMe Monographs (Vol. 2). University of Wyoming Press (2012).

.Calculus student understandings of division and rate. Mathematical Association of America, Special Interest Group on Research in Undergraduate Mathematics Education (2012).

.Book chapter: Quantitative reasoning and mathematical modeling. New perspectives and directions for collaborative research in mathematics education. University of Wyoming (2011).

.Edited book: Research in Collegiate Mathematics Education VII (Issues in Mathematics Education, Vol. 16).. American Mathematical Society (2010).

.Book chapter: Foreword. Children's fraction knowledge. Springer (2010).

.Mathematics teachers' understandings of proto-hypothesis testing. Pedagogies (2009).

.Toward a framework for the development of mathematical knowledge for teaching. Journal of Mathematics Teacher Education (2008).

.On professional judgment and the National Mathematics Panel report. Educational Researcher (2008).

.Book chapter: Foundational reasoning abilities that promote coherence in students' function understanding. Making the Connection: Research to Practice in Undergraduate Mathematics. Mathematical Association of America (2008).

.Book chapter: The concept of accumulation in calculus.. Making the Connection: Research to Practice in Undergraduate Mathematics. Mathematical Association of America (2008).

.Conceptual analysis of mathematical ideas: Some spadework at the foundations of mathematics education.. International Group for the Psychology of Mathematics Education (2008).

.The design of tasks in support of teachers' development of coherent mathematical meanings. Journal of Mathematics Teacher Education (2007).

.Exploring connections between sampling distributions and statistical inference: An analysis of students' engagement and thinking in the context of instruction involving repeated sampling.. International Electronic Journal of Mathematics Education (2007).

.Teachers' understandings of probability. Cognition and Instruction (2007).

.Book chapter: Intermediate algebra.. Algebra: Gateway to a technological future. Mathematical Association of America (2007).

.Book chapter: Quantitative reasoning and the development of algebraic reasoning.. Algebra in the early grades. Erlbaum (2007).

.Book chapter: Intricacies of statistical inference and teachers' understanding of them. Thinking with data. Erlbaum (2007).

.Book chapter: Intricacies of statistical inference and teachers' understandings of them.. Thinking with data. Erlbaum (2007).

.Investigating statistical unusualness in the context of resampling (2006).

.Through the looking glass: Perspectives on the evolution of learning communities through the lens of intersubjectivity (2006).

.Understanding margin of error. S. Wilson (2005).

.Investigating the Relationship Between Pre-Service Teachers' Understandings of Mathematics and their Developing Pedagogy. S. Wilson (2005).

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On evaluating curricular effectiveness: Judging the quality of K-12 mathematics evaluations. National Academies Press (2004).

.Edited book: On evaluating curricular effectiveness: Judging the quality of K-12 mathematics evaluations.. National Academies Press (2004).

.Teachers' personal and pedagogical understanding of probability and statistical inference. PME-NA (2004).

.Book chapter: Research companion to the NCTM Standards. National Council for Teachers of Mathematics (2003).

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- Hidden Obstacles to Mathematics Education Reform. Association for Public and Land-grant Universities Mathematics Teacher Education Partnerships. (Jun 2015).
- Making the Fundamental Theorem of Calculus Fundamental to Calculus. International Conference on Mathematics in Undergraduate Study Programs. (Dec 2014).
- Mathematics Education Reform and the Common Core State Standards. Banquet for Meeting of the Mathematics for America San Diego Chapter. (Jan 2014).
- Schemes for thinking about magnitudes.. Conference on Epistemic Algebra Students. (Jun 2013).
- Recognizing proportional relationships: A commentary. Symposium on How Teachers Make Sense of Proportional Situations, NCTM Res Presession. (Apr 2013).
- Under the Radar: Foundational Meanings that Math Professors (Mistakenly) Assume Students Have. Annual Meeting of the MAA Special Interest Group on Research in Undergraduate Mathematics Education. (Feb 2013).
- Fostering Students' Critical and Creative Thinking in Mathematics. International Science, Mathematics, and Technology Education Conference. (Jan 2013).
- A calculus course that focuses on students' understanding of the Fundamental Theorem of Calculus. Invited colloquium for the Department of Mathematics, Virginia Tech. (Oct 2012).
- High school teachers' mathematical meanings for teaching secondary mathematics. Invited colloquium for the University of Arkansas mathematics department. (Oct 2012).
- Mathematical MEANINGS for teaching secondary mathematics vs. mathematical KNOWLEDGE for teaching secondary mathematics. Invited colloquium for the Mathematics Education Student Association. (Sep 2012).
- Assessing high school mathematics teachers' mathematical meanings for teaching secondary mathematics. Invited colloquium for the Mathematics Education Student Association. (Sep 2012).
- Advances in quantitative reasoning. Conference on Quantitative Reasoning and Mathematical Modeling: A Driver for STEM Integrated Educati. (May 2012).
- Fractions, units, and the Common Core State Standards. Symposium on Students’ Fractional Knowledge and the Common Core State Standards, NCTM Res Presession. (Apr 2012).
- Current thinking on trig concepts worth knowing: This is NOT SOH-CAH-TOA. Symposium on Current Research on the Teaching and Learning of Trigonometry, NCTM Res Presession. (Apr 2012).
- Finding the common ground. Symposium on Mathematics and Mathematics Education: Toward the Common Ground. (Apr 2012).
- An approach to calculus made possible by technology. MAA Southwestern Section Joint Meeting. (Mar 2012).
- A tribute to Judy Sowder. Conference in Honor of Judith Sowder's Retirement. (Jan 2012).
- Quantitative reasoning and mathematical modeling. Invitational planning conference for the Wyoming Institute for the Study and Development of Mathemat. (Sep 2011).
- Mathematical knowledge for teaching. Annual meeting of the American Educational Research Association. (Apr 2011).
- A project in Calculus 1. First Year Mathematics Colloquium Series. (Apr 2011).
- Researching a quantitative approach to learning calculus. Invited Presentation to the Steinhardt School of Culture, Education and Human Development. (Apr 2011).
- Research as professional development: The role of research in reforming mathematics instruction at two-year colleges. American Mathematical Association of Two-Year Colleges. (Nov 2010).
- Rethinking mathematical knowledge for teaching. Research Presession to the annual meeting of the National Council of Teachers of Mathematics. (Apr 2010).
- Mathematical Knowledge for Teaching: Its Meaning and Sources. Symposium at the Research Presesession of the annual meeting of the NCTM. (Apr 2010).
- Toward a foundation of mathematics education. Annual Meeting of the American Educational Research Association. (Apr 2010).
- School mathematics is largely useless for learning physics. But it needn't be.. Annual Meeting of the American Physical Society. (Mar 2010).
- Teaching Mathematics; Teaching Students; Teaching Mathematics to Students: Teachers’ Trajectories toward Mathematical Knowledge for Teaching. Annual Conference of the National Science Foundation DR-k12 program. (Sep 2009).
- Rate of change and the fundamental theorem of calculus. Institute for Mathematics and Education Workshop on Calculus Learning. (Apr 2009).
- Commentary on the National Mathematics Panel Report. Research Presession to the annual meeting of the National Council of Teachers of Mathematics. (Apr 2009).
- What is "higher" about higher cognition in school students?. National Science Foundation Workshop on Higher Cognition in Adolescents. (Sep 2008).
- Learning without understanding and its implications for the mathematics that teachers teach.. Mathematical Association of American MathFest. (Jul 2008).
- One approach to a coherent K-12 mathematics. Or, it takes 12 years to learn calculus.. Pathways to Algebra Conference. (Jun 2008).
- The problem of scaling up versus the problem of researching the scaling process.. Education and Human Services, National Science Foundation. (May 2008).
- Affecting teachers' images of what and whom they teach.. Research Presession to the Annual Meeting of the National Council of Teachers of Mathematics. (Apr 2008).
- Constructivism in Mathematics Education. Presentation to the Japan Society of Mathematics Education. (Oct 2007).
- Teaching for Mathematical Literacy. Presentation to the Japan Society of Mathematics Education. (Oct 2007).
- Presentation to the National Mathematics Panel. Invited Testimony to the President's National Mathematics Panel. (Apr 2007).
- Affecting Secondary Mathematics Teachers’ Instructional Practices By Affecting Their Mathematical Knowledge. Conference on Research in Undergraduate Mathematics Education. (Feb 2007).
- Affecting teachers' learning communities by affecting their mathematical knowledge. China-U.S. Educational Leadership Conference. (Jun 2006).
- Mathematical thinking and intersubjective operatins: A lens on the creation of mathematical learning communities. Research Presession to the Annual Meeting of the National Council of Teachers of Mathematics. (Apr 2006).

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- Carlson,Marilyn P * , Boggess,Albert , Gardner,Carl L , Jackiewicz,Zdzislaw , Milner,Fabio Augusto , Roh,Kyeong Hah , Saldanha,Luis , Thompson,Patrick W , Van De Sande,Carla , . Pathways to Preparing Future Mathematics Faculty to Transform Undergraduate Mathematics Teaching and Learning. NSF-EHR-DUE (9/1/2013 - 8/31/2018).
- Thompson,Patrick W * . Promoting Excellence in Arizona Middle School Mathematics: Increasing Student Achievement through Systemic Instructional Change. MARICOPA COMMUNITY COLLEGE (3/15/2012 - 2/28/2017).
- Thompson,Patrick W * Carlson,Marilyn P . Project Aspire: Defining and Assessing Mathematical Knowledge For Teaching Secondary Mathematics. NSF-EHR-DUE (9/1/2011 - 8/31/2015).
- Culbertson,Robert John * , Bond-Robinson,Janet , Brown,Albert Frederick , Carlson,Marilyn P , Thompson,Patrick W , . ASU Math & Science Teaching Fellows: Toward a World-Class Teacher Workforce for Arizona Schools. SFAz (7/1/2009 - 12/31/2010).
- Carlson,Marilyn P * , Burrows,Veronica Ann , Culbertson,Robert John , Horan,John Joseph , Horan,John Joseph , Krause,Stephen , Lawson,Anton Eric , Middleton,James Arthur , Middleton,James Arthur , Oehrtman,Michael , Ramirez,Nora G , Semken,Steven , Thompson,Patrick W , . Project Pathways: Opening Routes to Math and Science Success for all Students. NSF-EHR (7/1/2008 - 8/31/2012).
- Thompson,Patrick W * Carlson,Marilyn P Kuang,Yang . Developing a Professional Learning Community Model for Secondary Precalculus Teachers: A Model for Teacher Professional Growth. NSF-EHR (7/1/2008 - 8/31/2010).
- Thompson,Patrick W * Carlson,Marilyn P Hurlbert,Glenn Howland Krause,Stephen Middleton,James Arthur . SCISM-Summer Certification Institute in Secondary Mathematics. NSF-EHR (7/1/2008 - 9/30/2012).
- Culbertson,Robert John * Bond-Robinson,Janet Brown,Albert Frederick Carlson,Marilyn P Thompson,Patrick W . ASU Math & Science Teaching Fellows: Toward a World-Class Teacher Workforce for Arizona Schools. SFAz (6/1/2007 - 5/31/2011).
- Thompson,Patrick W * Ramirez,Nora G . RSC-MSP Training Agreement. CNTY OF MARICOPA-SUPT OF SCHL (2/1/2006 - 1/31/2007).
- Carlson,Marilyn P * , Atkinson,Robert Kenneth , Baker,Dale Rose , Bauer II,Richard C , Bauer II,Richard C , Birk,James Peter , Bloom,Irene , Burns,Hillary Dockser , Burrows,Veronica Ann , Buskirk,Trent David , Carpenter,Ray W , Chizmeshya,Andrew V , Chizmeshya,Andrew V , Clark,Douglas B , Culbertson,Robert John , Gomez,Luanna Soledad , Haag,Susan G , Halloun,Ibrahim , Horan,John Joseph , Horan,John Joseph , Hurlbert,Glenn Howland , Judson,Eugene E , Krause,Stephen , Krause,Stephen , Kuang,Yang , Lawson,Anton Eric , Lohr,Sharon Lynn , Mckelvy,Michael J , Mckelvy,Michael J , Middleton,James Arthur , Middleton,James Arthur , Oehrtman,Michael , Pizziconi,Vincent B , Ramirez,Nora G , Ramirez,Nora G , Reynolds,Stephen James , Roh,Kyeong Hah , Rutowski,Ronald L , Semken,Steven , Sloane,Finbarr , Smith,Hal L , Thompson,Patrick W , Wilcox,Kristine , Wilcox,Kristine , Wyckoff,Susan , Zandieh,Michelle Jeanette , . Project Pathways: Opening Routes to Math and Science Success for all Students. NSF-EHR (9/15/2004 - 6/30/2008).
- Carlson,Marilyn P * Burns,Hillary Dockser Ramirez,Nora G Thompson,Patrick W . Curriculum Development and Evaluation of the RSC-MSP. CNTY OF MARICOPA-SUPT OF SCHL (9/1/2004 - 8/31/2006).
- Thompson,Patrick W * , Banks,Debra L , Bloom,Irene , Burns,Hillary Dockser , Carlson,Marilyn P , Carlson,Marilyn P , Flores,Alfinio , Hurlbert,Glenn Howland , Kierstead,Henry Andrew , Kuang,Yang , Lohr,Sharon Lynn , Oehrtman,Michael , Ramirez,Nora G , Zandieh,Michelle Jeanette , . Developing a Professional Learning Community Model for Secondary Precalculus Teachers: A Model for Teacher Professional Growth. NSF-EHR (5/1/2004 - 6/30/2008).

* principal investigator

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- School of Mathematical and Statistical Sciences, Chair (2013 - present)
- Journal of Mathematical Behavior, Reviewer (2012 - present)
- Journal of Mathematical Behavior, Reviewer (2012 - present)
- National Science Foundation, External reviewer (2012 - present)
- National Science Foundation, Panel review (2012 - present)
- International Journal of Science and Mathematics Education, Editorial Board (2012 - present)
- International Journal of Science and Mathematics Education, Editorial Board (2012 - present)
- International Journal of Science and Mathematics Education, Editorial Board (2012 - present)
- Computer Advisory Committee, Member (2011 - present)
- National Science Foundation, Panel review (2011 - present)
- Educational Studies in Mathematics, Reviewer (2011 - present)
- Journal for Mathematics Teacher Education, Reviewer (2011 - present)
- Journal for Research in Mathematics Education, Reviewer (2011 - present)
- Journal for Research in Mathematics Education, Reviewer (2011 - present)
- Open Mathematical Education Notes: Journal of the Scientific Society of Mathematics of Bosnia, Member, Editorial Board (2010 - present)
- Institute for Mathematics and Education, University of Arizona, Member, Executive Board (2007 - present)
- Institute for Mathematics and Education, University of Arizona, Member, Executive Board (2007 - present)
- James J Kaput Center for Research and Innovation in Mathematics Education, U. of Massachussetts, Member, Advisory Board (2007 - present)
- College Board Mathematics SAT Subject Test Committee, Member (2014 - 2017)
- Ad Hoc Committee on SoMSS Bylaws, Member (2014)
- Educational Studies in Mathematics, Reviewer (2014)
- Journal for Research in Mathematics Education, Reviewer (2014)
- Mathematical Thinking and Learning, Reviewer (2014)
- SoMSS Colloquium Committee, Member (2014)
- ZDM, Reviewer (2014)
- International Conference on Mathematics in Undergraduate Study Programs, Co-organizer (2012 - 2014)
- College Board Mathematics SAT Subject Test Committee, Member (2014)
- College Board Mathematics SAT Subject Test Committee, Member (2011 - 2014)
- Mary Lou Fulton Committee on Field Experience, Member (2014)
- School of Mathematical and Statistical Sciences, Chair (2013 - 2014)
- International Journal of Science and Mathematics Education, Member, Editorial Board (2010 - 2013)
- Open Mathematical Education Notes: Journal of the Scientific Society of Mathematics of Bosnia, Member, Editorial Board (2010 - 2013)
- James J Kaput Center for Research and Innovation in Mathematics Education, U. of Massachussetts, Member, Advisory Board (2007 - 2013)
- Math & Statistics Graduate Committee, Member (2012)
- PhD in Mathematics Education, Coordinator (2012)
- Director Search Committee, Member (2011 - 2012)
- PhD in Mathematics Education, Coordinator (2009 - 2012)
- Design a mathematics education concentration in the Bachelor of Science Mathematics program, Leader (2009 - 2011)
- National Science Foundation, External reviewer (2011)
- Math & Statistics Graduate Committee, Member (2010 - 2011)

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