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Investigating Income Inequality in the U.S.: Module Overview and Sample Lessons

The Investigating Income Inequality in the U.S. module focuses on describing, comparing, and making sense of quantitative variables. Students deepen their understanding of this content by investigating questions such as: How have incomes for higher- and lower-income individuals in the U.S. changed over time? How much income inequality exists between males and females in the U.S.? Does education explain the wage gap between males and females?

Author/Presenter: 
SDLC Project Team
Year: 
2019
Short Description: 

This sample document contains 1) an overview of the module lessons and learning objectives; 2) the teacher guide for Lesson 4, titled How have middle-income earners in the U.S. been doing over time?; 3) the teacher guide for Lesson 6, titled How much income inequality exists between males and females in the U.S.?; and 4) the team data investigation.

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. 

Science Strategy Interventions

Strategies and strategic processing within science education are designed to help students learn not only what scientists have come to understand about the world but also how they learn it. Although many domain-general strategies can be implemented in science classrooms, some strategies are either specific to science or are encouraged within science. Historically, concept development and conceptual change approaches and empirical investigations dominated science’s strategies and strategic processing.

Author/Presenter: 
Doug Lombardi
Janelle Bailey
Year: 
2020
Short Description: 

Strategies and strategic processing within science education are designed to help students learn not only what scientists have come to understand about the world but also how they learn it. Although many domain-general strategies can be implemented in science classrooms, some strategies are either specific to science or are encouraged within science. Historically, concept development and conceptual change approaches and empirical investigations dominated science’s strategies and strategic processing. More recently, argumentation, science as modeling, and the incorporation of socio-scientific topics dominate the strategies and strategic processing within science teaching and learning. Challenges to more widespread use of these approaches include lack of teacher experience and pedagogical knowledge around the strategies, as well as time and curricular limitations. Teacher education and professional development programs should seek to explicitly implement contemporary science strategy interventions to improve upon their use in K-12 classrooms and other learning environments. Doing so effectively will require well-researched and validated instructional scaffolds to facilitate the teaching and use of contemporary science learning strategies. This paper was prepared for the 2020 AERA Annual Meeting.

Students’ Plausibility Shifts & Knowledge Gains When Evaluating Competing Models about Freshwater Resource Availability

Critique and evaluation are considered essential to deeper science learning. Furthermore, critical evaluation may influence plausibility judgments about explanations through re-appraisal. We developed the YIS-activity (blinded for peer review) to activate students’ epistemic judgments (i.e., plausibility) about competing models explaining scientific phenomena and to further their learning about Earth science topics.

Author/Presenter: 
Tim Klavon
Janelle Bailey
Doug Lombardi
Archana Dobaria
Lead Organization(s): 
Year: 
2020
Short Description: 

Critique and evaluation are considered essential to deeper science learning. Furthermore, critical evaluation may influence plausibility judgments about explanations through re-appraisal. We developed the YIS-activity (blinded for peer review) to activate students’ epistemic judgments (i.e., plausibility) about competing models explaining scientific phenomena and to further their learning about Earth science topics. This study seeks to answer the question, “How are the plausibility shifts and knowledge gains of students impacted by the evaluation of multiple explanatory models for the future availability of freshwater resources?” Participants (N=76) completed a YIS-activity about freshwater resources, including pre and post-instruction knowledge surveys and plausibility ratings. Paired-samples t-tests determined that the students showed significant knowledge gains [t(75)=4.46, p<.001, d=0.51]. Initial analysis of the omnibus plausibility shifts was not significant, however particular knowledge item score differences caused us to re-evaluate the plausibility relationships between the three presented models. Two models each showed significant differences with the third model, [t(75)=2.66, p<.001, d=0.30] and [t(75)=2.94, p=.004, d=0.33] respectively. These two models also did not have a significant plausibility shift between themselves. While students accomplished significant learning in the YIS-activity, this finding emphasizes the difficulty that students have when evaluating multiple scientific explanatory models. This presentation was prepared for the 2020 Annual International NARST Conference.

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