Pupils' ability to represent mathematical concepts in multiple ways is a central aspect of mathematical competence and communication. Thus, classroom instructions should be able to support learners in using multiple representations (MRs) to increase the quality and quantity of connections to a network of ideas. Given the importance of bansho…

I report the results of an analysis of an episode of elementary school second language mathematics classroom talk focused on the classification of geometric forms, drawing on a dialogic, sources of meaning perspective. The episode was selected because participants make use of a variety of features of language, including vocabulary, gestures and…

Mathematical modelling is emphasised in curricula worldwide. Since 2006, mathematical modelling has been considered a fundamental process in the mathematics subject in Norwegian upper secondary schools. This study aimed to identify tensions in the approaches to mathematical modelling expressed in teacher interviews (N = 4) and framework discourses…

This article highlights four routines that use visual images and open questions to invite students to discuss, justify, make arguments, and question their own thinking as well as their classmates' thinking. The authors share specific classroom examples from each routine that highlight the meaningful discourse they can inspire. Teacher prompts and…

This paper aims to discuss the use of Brousseau's Theory of Didactical Situations in mathematics (TDS) for eighth-graders to explore the concept of triangle inequality in Euclidean geometry. Data sources included observation notes, video recordings of lessons, and students' written work. Data analysis was done through a deductive content analysis…

The aim of this study is to investigate relationships between note-taking and the orchestrating of math-talk in whole-class teaching. A lesson on (average) velocity in a Swedish Grade 6 has been observed. Taking an inferentialist stance on human understanding, the study conceptualizes teaching and learning from the perspective of how students come…

Many teachers are aware of the benefits of small-group learning. However, implementation, especially in classrooms with communication challenges, can be difficult. For students who are Deaf or Hard of Hearing (DHH) in mainstream classrooms, communication is most often supported through sign language interpreters and captioning. This model of…

Convincing evidence suggests that a considerable number of U.S. students struggle to develop mathematics proficiency. One subgroup of students who have a high probability of mathematical failure is English learners (ELs), who now represent 10% of the U.S. student population; 70% of these students speak Spanish at home (Fry & Passel, 2009). ELs…

Background/Context: Which ideas should be included in the K-12 curriculum, how they are learned, and how they should be taught have been debated for decades in multiple subjects. In this article, we offer mathematics as a case in point of how new standards-related policies may offer an opportunity for reassessment and clarification of such…

Children of foreign origin are increasingly failing in mathematics in Swedish compulsory schools. This article analyses the didactics at a school proven very successful in teaching mathematics to all children including the 70% of children of foreign origin. The situation at the studied school is compared to research of the Swedish school system…

Two teachers share practical tips for teaching secondary school mathematics. The tips focus on effective use of homework and teaching trigonometric concepts. (PK)

This document presents the proceedings of the 17th Annual Research Forum held June 29, 2012, at Wake Forest University in Winston-Salem, North Carolina. Included herein are the following 25 action research papers: (1) "Reading and Writing": A Study Comparing the Strengths of Peer Review and Visible Author Writing Strategies (Elizabeth Behar); (2)…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…