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GPS: Replicating Patterns

GPS: Replicating Patterns

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Dan Siebert recently published an article title "GPS: Replicating Patterns" in the Mathematics Teacher: Learning and Teaching PK-12 journal. Dan has answered a few questions about this article below: Who were your co-authors on this article? Monica G. McLeod Who would you say is the target audience for this article? K-12 teachers What is the big problem you hoped to address with this article? This article provides 4 problems, one for each of the grade bands K-2, 3-5, 6-8, and 9-12. It addresses how the activity of identifying patterns changes and evolves as students progress in mathematics. What are some of the key ideas in the article? One of the big ideas is that students need to learn how to identify which quantities stay constant and which grow linearly. Often…
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Approaches to Integration based on Quantitative Reasoning: Adding Up Pieces and Accumulation from Rate

Approaches to Integration based on Quantitative Reasoning: Adding Up Pieces and Accumulation from Rate

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Steven Jones recently had a paper titled “Approaches to Integration based on Quantitative Reasoning: Adding Up Pieces and Accumulation from Rate” published in the conference proceedings for the Research in Undergraduate Mathematics Education conference. Steven has answered a few questions about this paper below:  Who were your co-authors on this paper? Robert Ely, University of Idaho Who would you say is the target audience for this paper? Math Education researchers, calculus instructors, and anyone new to the field of calculus education. What is the big problem you hoped to address with this paper? There's been substantial recognition of the need for integral instruction to move past the stereotypical "area-under-a-curve" meaning to one based on quantities and quantitative reasoning. However, research on these types of approaches are scattered across many journals,…
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Conducting a Whole Class Discussion About an Instance of Student Mathematical Thinking

Conducting a Whole Class Discussion About an Instance of Student Mathematical Thinking

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Blake Peterson and Keith Leatham recently had a paper titled “Conducting a Whole Class Discussion About an Instance of Student Mathematical Thinking” published in the conference proceedings for the Psychology of Mathematics Education – North America (PMENA) conference. Blake has answered a few questions about this paper below:  Who were your co-authors on this paper? Shari Stockero – Michigan Technological University and Laura Van Zoest – Western Michigan University Who would you say is the target audience for this paper? The broad mathematics education community – both researchers and teachers. What is the big problem you hoped to address with this paper? Mathematics Educators often talk about the importance of using student mathematical thinking during instruction but what does that use really look like. What are some of the key…
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Sharing and Storing Knowledge about Teaching Undergraduate Mathematics: An Introduction to a Written Genre for Sharing Lesson-specific Instructional Knowledge

Sharing and Storing Knowledge about Teaching Undergraduate Mathematics: An Introduction to a Written Genre for Sharing Lesson-specific Instructional Knowledge

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Doug Corey and Steven Jones recently edited a book titled “Sharing and Storing Knowledge about Teaching Undergraduate Mathematics: An Introduction to a Written Genre for Sharing Lesson-specific Instructional Knowledge” They have answered a few questions about this publication below. What was the genesis of this book? We had done a study to see what kind of materials were available to university mathematics instructors. It was lacking in resources to help teach specific content, and in sharing reasoning of experts through instructional decisions. In order to address these needs, we developed a written genre for instructors to share their instructional knowledge on teaching specifics content. We call the genre "Lesson Analysis" and a written example of a Lesson Analysis, a "Lesson Analysis Manuscript", or LAM for short. LAMs give instructors a…
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Uses of the Equal Sign and Equation Types in Middle School Mathematics Textbooks

Uses of the Equal Sign and Equation Types in Middle School Mathematics Textbooks

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Dan Siebert recently had a paper titled “Uses of the Equal Sign and Equation Types in Middle School Mathematics Textbooks” published in the conference proceedings for the Psychology of Mathematics Education – North America conference. Dan has answered a few questions about this paper below:  Who were your co-authors on this paper? Chelsea Dickson Who would you say is the target audience for this paper? Math Education Researchers What is the big problem you hoped to address with this paper? To better understand what meanings of the equal sign are used in secondary school mathematics and how to decipher which meaning is appropriate in a particular context. What are some of the key ideas in the article? We found that middle school curricula use three different meanings of the equal…
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Geometric Rotations and Angles: How are they Connected?

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Dawn Teuscher recently had a paper titled "Geometric Rotations and Angles: How are they Connected?" published in the conference proceedings for the Psychology of Mathematics Education - North American conference. Dawn has answer a few questions about this paper below: Who were your co-authors on this paper? Navy Dixon and Sariah Stevenson Who would you say is the target audience for this paper? Curriculum developers and mathematics education researchers What is the big problem you hoped to address with this paper? Geometric rotations is a transformation that is difficult for both teachers and students. Teachers understand and emphasis with their students the need to identify a center of rotation as well as an angle of rotation. Therefore, we wanted to explore what are students meanings of rotations and what unintended…
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Design of Virtual Reality Modules for Multivariable Calculus and an Examination of Student Noticing within Them

Design of Virtual Reality Modules for Multivariable Calculus and an Examination of Student Noticing within Them

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Steven Jones recently published an article titled “Design of virtual reality modules for multivariable calculus and an examination of student noticing within them.” in the Research in Mathematics Education. Steven has answered a few questions about this article below:  Who were your co-authors on this article? Nicholas Long and Jeremy Becnel at Stephen F Austin State University Who would you say is the target audience for this article? Undergraduate mathematics education researchers, undergraduate mathematics instructors, and mathematics education researchers on virtual reality. What is the big problem you hoped to address with this article? Multivariable calculus presents specific issues of visualizing 3-dimensional (and higher) mathematical objects. Traditional media of books and chalkboards are limited in being inherently 2-dimensional. This paper examined the design and usage of virtual reality modules for…
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Congratulations Grace and Anna!

Congratulations Grace and Anna!

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Congratulations to Grace Lam and Anna Christensen as they have been awarded the Outstanding Student Award from the Math Education department for Winter Semester 2023! Grace and Anna will be student teaching this semester and graduating in April.
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Mentor Teachers

Mentor Teachers

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Tenille Cannon and Sharon Christensen were recently awarded a grant to work with mentor teachers. They have answered a few questions about this award below. What was the genesis of the ideas behind this project? There is a need for more math education mentor teachers who can provide the needed support for the math ed student teachers. We also wanted to build a collaborative group of mentor teachers. What is the timeline of the project associated with this grant? There was a 3-day summer workshop held June 14-16, 2022. There will also be four monthly follow-up meetings in September, October, November and December 2022. What would you say is the main goal to be accomplished with this funding? Improve the student teaching experience for both student teachers and mentor teachers.…
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Congratulations Malissia!

Congratulations Malissia!

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Malissia Perkins was awarded the outstanding student award from the Mathematics Education department for Fall Semester 2022. She will be doing her student teaching fall semester and graduating in December 2022.
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