High

Supporting Students' Pathways through the Cycle of Inquiry and Justification

The Cycle of Inquiry and Justification was delineated as an essential concept for High School Mathematics (NCTM, 2018). After spending three years observing this cycle in classrooms, we identified the transition from conjecturing to proving as a key site for conceptual obstacles. These obstacles and strategies for overcoming them are explored. This presentation was part of the NCTM 100 Days of Professional Learning.
 
Author/Presenter

Michelle Cirillo

Jenifer Hummer

Lead Organization(s)
Year
2020
Short Description

This NCTM 100 Days of Professional Learning webinar explores the cycle of inquiry and justification, conceptual obstacles, and strategies for overcoming these obstacles.

Webinar Resources: Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching

In this webinar, presenters 

Author/Presenter

Joseph DiNapoli

Eileen Murray

Doug O'Roark

John Russell

Year
2020
Short Description

In this webinar, presenters Joseph DiNapoliEileen MurrayDoug O'Roark, and John Russell, shared the evolution of an analytic method that aims to reveal how secondary mathematics teachers build knowledge while collectively analyzing and discussing video of mathematics teaching, and engaged webinar participants with that analytic method to gather feedback on the approach developed through the DRK-12 projects, Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases

Webinar Resources: Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching

In this webinar, presenters 

Author/Presenter

Joseph DiNapoli

Eileen Murray

Doug O'Roark

John Russell

Year
2020
Short Description

In this webinar, presenters Joseph DiNapoliEileen MurrayDoug O'Roark, and John Russell, shared the evolution of an analytic method that aims to reveal how secondary mathematics teachers build knowledge while collectively analyzing and discussing video of mathematics teaching, and engaged webinar participants with that analytic method to gather feedback on the approach developed through the DRK-12 projects, Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases

Webinar Resources: Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching

In this webinar, presenters 

Author/Presenter

Joseph DiNapoli

Eileen Murray

Doug O'Roark

John Russell

Year
2020
Short Description

In this webinar, presenters Joseph DiNapoliEileen MurrayDoug O'Roark, and John Russell, shared the evolution of an analytic method that aims to reveal how secondary mathematics teachers build knowledge while collectively analyzing and discussing video of mathematics teaching, and engaged webinar participants with that analytic method to gather feedback on the approach developed through the DRK-12 projects, Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases

Restoring Mathematics Identities of Black Learners: A Curricular Approach

Black learners are subject to systemic physical, symbolic, and epistemological violence in mathematics classrooms. Such violence has negative ramifications for Black children’s mathematics learning and identity development. The authors argue that space should be made within the mathematics classroom to repair the harm caused by this violence. This article describes an identity-based curriculum, Mathematics for Justice, Identity, and meta-Cognition (or MaJIC), that provides a form of mathematics therapy through a restorative justice framework.

Author/Presenter

Maisie L. Gholson

Darrius D. Robinson

Lead Organization(s)
Year
2019
Short Description

This article describes an identity-based curriculum, Mathematics for Justice, Identity, and meta-Cognition (or MaJIC), that provides a form of mathematics therapy through a restorative justice framework.

Backward Transfer Effects when Learning about Quadratic Functions

Presentation slides from the 42nd Conference of the International Group for the Psychology of Mathematics Education.

Hohensee, C., Willoughby, L., & Gartland, S. (2018, July). Backward transfer effects when learning about quadratic functions. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 5, p. 65). Umeå, Sweden: PME.

Author/Presenter

Charles Hohensee

Laura Willoughby

Sara Gartland

Lead Organization(s)
Year
2018
Short Description

Presentation slides from the 42nd Conference of the International Group for the Psychology of Mathematics Education.

Backward Transfer Effects on Action and Process Views of Functions

Presentation slides from the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Hohensee, C., Gartland, S., & Willoughby, L. (2019, November). Backward transfer effects on action and process views of functions. In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.), Proceedings of the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. St Louis, MO: University of Missouri.

Author/Presenter

Charles Hohensee

Sara Gartland

Laura Willoughby

Lead Organization(s)
Year
2019
Short Description

Presentation slides from the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Building Mathematical Knowledge for Teaching Proof in Geometry

Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN.

Author/Presenter

Michelle Cirillo

Lead Organization(s)
Year
2019
Short Description

Presentation slides and handout from the 2019 NCTM Regional Conference in Nashville, TN.

Mathematics Teaching Has Its Own Imperatives: Mathematical Practice and the Work of Mathematics Instruction

How should we expect growing understandings of the nature of mathematical practice to inform classroom mathematical practice? We address this question from a perspective that takes seriously the notion that mathematics education, as a societal enterprise, is accountable to multiple sets of stakeholders, with the discipline of mathematics being only one of them. As they lead instruction, teachers can benefit from the influence of understandings of mathematical practice but they also need to recognize obligations to other stakeholders.

Author/Presenter

Patricio Herbst

Daniel Chazan

Lead Organization(s)
Year
2020
Short Description

In the article, the authors locate how mathematics instruction may actively respond to the influence of the discipline of mathematics and exemplify how obligations to other stakeholders may participate in the practical rationality of mathematics teaching as those influences are incorporated into instruction.

From Science Student to Conceptual Agent: Examining the Individual Shifts in Engagement During Scaffolded Instruction

In this paper we describe a qualitative study in which we examine individual student engagement during implementation of an instructional scaffold for critical evaluation of scientific models during Earth and space science lessons. We coded dialogic interactions of one student group in a sixth grade science classroom across three observations, wherein we analyzed the trajectory of engagement for a single student - Ray (a pseudonym), within the co-constructed learning of the group.

Author/Presenter

Ananya Matewos

Doug Lombardi

Janelle Bailey

Imogen Herrick

Year
2020
Short Description

In this paper we describe a qualitative study in which we examine individual student engagement during implementation of an instructional scaffold for critical evaluation of scientific models during Earth and space science lessons. We coded dialogic interactions of one student group in a sixth grade science classroom across three observations, wherein we analyzed the trajectory of engagement for a single student - Ray (a pseudonym), within the co-constructed learning of the group. The first of these observations involved implementation of a preconstructed scaffold, called the Model-Evidence Link (MEL) diagram, on the topic of hydraulic fracturing (fracking). With the MEL, students use evidence to compare a scientific model to an alternative model. In the second two observations, students used a more agentic variation of the activity called the build-a-MEL, to study the topics of fossils and freshwater resources respectively. After three observations, we transcribed and coded each interaction of students in the group. We then categorized and identified emerging patterns of Ray’s discourse and interactions with group members by using both a priori engagement codes and open coding. This paper was prepared for the 2020 AERA Annual Meeting.