Math anxiety is considered a predictor of mathematical achievement, but little is known about its characteristics in young children. In a longitudinal study of first to second grade children, the relationships between gender, general and math anxiety, and math achievement were tested. First, the results indicate that girls in comparison to boys…

According to international studies of achievement in mathematics amongst Australian secondary school students, results have declined over time when compared with other countries. The National Assessment Program -- Literacy and Numeracy (NAPLAN) is an Australian government initiative to measure whether students have the knowledge, understanding,…

Digital technologies shape the processes of teaching and learning in the classroom. They create spaces for action, while at the same time they pose restrictions and can generate unexpected situations, both for teachers and students. In this paper, we show examples in which teachers respond to contingencies emerging from the use of interactive…

The development of conceptual multiplication knowledge will assist students in making progress within current mathematics standards. Previous research has shown the concrete-representational-abstract (CRA) sequence to be successful in teaching multiplication with regrouping with an emphasis on conceptual understanding while developing fluency and…

This study investigated the features of elementary students? problem solving skills, when teachers provide scaffolding in the process of solving an illstructured problem in an elementary school mathematics classroom in Seoul, South Korea. In this study, participants solved the ill-structured problem following the phases of Analyze, Browse, Create,…

This study examines the beliefs of 33 preservice teachers (PSTs) from the U.S. have about using different types of real-world contexts in the mathematics classroom. Qualitative data about the participants' reactions to specially designed word problems that varied in contexts from "neutral" to controversial were collected. A thematic…

Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

In this article, the authors define learning goals, differentiate them from performance goals, and elaborate on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning. Next, the authors present a framework that teachers can use to define and refine learning goals during lesson planning…

This single-case meta-analysis is the first to provide a quantitative synthesis of the published literature on mathematics word problem-solving intervention studies for English learners with learning disabilities and mathematics difficulties. A total of ten single-subject studies were included for analysis. The current study investigated the…

Our middle school mathematics department used lesson study to investigate how to introduce fractions division to our sixth-grade students. We highlight our learnings during the Study and Plan phases, describe our observations during the lesson, and provide tips for educators interested in using lesson study to study their own content.

Teachers' decision-making and pedagogical reasoning often become visible in their lesson planning sessions. This study explores how the professional learning opportunities presented by teacher-facilitator interactions in planning sessions. By tracing shifts in teachers' discourse in planning sessions, we examine the development of their…

The present work presents a proposal for study and investigation, in the context of the teaching of Mathematics, through the history of linear and recurrent 2nd order sequences, indicated by: Fibonacci, Lucas, Pell, Jacobsthal, Leonardo, Oresme, Mersenne, Padovan, Perrin and Narayana. Undoubtedly, starting from the Fibonacci sequence, representing…

This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in…

This paper sought to investigate the mathematics teachers' reflection on the role of Productive Pedagogies' framework in festering effective classroom instruction. Two research objectives were used to discuss the reflection of the four mathematic teachers. A qualitative case study was adopted as the design of the study. Classroom observations,…

The use of artifacts to introduce the distributive law of multiplication over addition in primary school is a diffused approach: it is possible to find pre-constructed learning trajectories in instructional materials. However, it is still unclear how the teacher might support his/her students in transitioning from concrete to symbolic…