In this article we illustrate how one teacher used PhET cannonball simulation as an instructional tool to improve students' algebraic reasoning in a fifth grade classroom. Three instructional phases effective to implementation of simulation included: Free play, Structured inquiry and, Synthesizing ideas.
Manouchehri Azita, Ozturk Ayse and Sanjari Azin
Anna F. DeJarnette and Gloriana González
Given the prominence of group work in mathematics education policy and curricular materials, it is important to understand how students make sense of mathematics during group work. We applied techniques from Systemic Functional Linguistics to examine how students positioned themselves during group work on a novel task in Algebra II classes. We examined the patterns of positioning that students demonstrated during group work and how students' positioning moves related to the ways they established the resources, operations, and product of a task. Students who frequently repositioned themselves created opportunities for mathematical reasoning by attending to the resources and operations necessary for completing the task. The findings of this study suggest how students' positioning and mathematical reasoning are intertwined and jointly support collaborative learning through work on novel tasks.
Katherine E. Lewis
Mathematical learning disability (MLD) research often conflates low achievement with disabilities and focuses exclusively on deficits of students with MLDs. In this study, the author adopts an alternative approach using a response-to-intervention MLD classification model to identify the resources students draw on rather than the skills they lack. Detailed diagnostic analyses of the sessions revealed that the students understood mathematical representations in atypical ways and that this directly contributed to the persistent difficulties they experienced. Implications for screening and remediation approaches are discussed.
Shiv Karunakaran, Ben Freeburn, Nursen Konuk and Fran Arbaugh
Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.
Allison B. Hintz
Teachers can foster strategy sharing by attending to the cognitive demands that students experience while talking, listening, and making mistakes.
This department publishes brief news articles, announcements and guest editorials on current mathematics education issues that stimulate the interest of TCM readers and cause them to think about an issue or consider a specific viewpoint about some aspect of mathematics education. This month in the Coaches' Corner, take a closer look at CCSS Standard 3 for Mathematical Practice, Explain and Justify. Coaches may want to demonstrate the integration of math and writing with Speak, Write, Reflect, Revise, a five-step approach for integrating problem solving and the writing process.
Lynn M. McGarvey
A child's decision-making photo activity about pattern identification presents implications for teaching and learning patterns in the early years.
Frank K. Lester Jr and Leslie P. Steffe
Through my work in mathematics education, I have come to the realization that constituting mathematics education as an academic field entails constructing models of mathematical minds that are constructed by students in the context of mathematics teaching beginning in early childhood and proceeding onward throughout the years of schooling. In this article, I recount events that have led me to this realization.
Susan A. Gregson
This case study examines the practice of a full-time mathematics teacher and social activist working in a secondary school with the twin missions of college preparation and social justice. Findings detail how this teacher views the relationship between mathematics education and social justice and how her conception of teaching for social justice is enacted in her mathematics classes. Interview data and excerpts of classroom practice are used to describe how the teacher negotiates 2 dilemmas in her teaching: the challenge of fostering students' independence/interdependence and the problem of dominant mathematics as a necessity/obstacle to social justice.
JRME Equity Special Issue Editorial Panel
Beatriz D'Ambrosio, Marilyn Frankenstein, Rochelle Gutiérrez, Signe Kastberg, Danny Bernard Martin, Judit Moschkovich, Edd Taylor and David Barnes
This dialogue, also extracted from a conversation among members of the Equity Special Issue Editorial Panel, involves the role of a researcher's position in mathematics education. It raises issues about the non-neutrality of research; the relationship between a researcher's identity and the design, analysis, and conclusions of a research study; the benefits for researchers and participants in positioning oneself; and the role of mathematics education in this endeavor.