Word problems are among the most difficult kinds of problems that mathematics learners encounter. Perhaps as a result, they have been the object of a tremendous amount research over the past 50 years. This opening article gives an overview of the research literature on word problem solving, by pointing to a number of major topics, questions, and…

This paper presents the findings from a survey used to investigate how mathematicians perceive the genre of mathematical proof writing at the undergraduate level. Mathematicians were asked whether various proof excerpts highlighted in four partial proofs were unconventional in each one of three pedagogical contexts: undergraduate mathematics…

In this paper, we will discuss a type of activity that lets the mathematics classroom become a place where students can learn more than mathematical content. Specifically, students can learn interdisciplinary skills in the area of communication (both verbal and non-verbal) and debate skills that are often taught in communication or English…

The aim of this study is to determine preschool, special education, elementary school teacher and mathematics teachers' views of finger-counting in mathematics teaching. The study was conducted with case study design. The sample of the study consisted of 34 teachers. Data were collected using an 8-item written form, and content analysis was…

Based on empirical data, student learning outcomes on statistical material are not in accordance with the expectations of teachers so it is necessary to apply the Contextual Teaching and Learning (CTL) approach. A CTL implementation can help students to understand concepts and skilled resolve issues. The research purpose is to see whether the…

Normative discourse about probability requires shared meanings for disciplinary vocabulary. Previous research indicates that students' meanings for probability vocabulary often differ from those of mathematicians, creating a need to attend to developing students' use of language. Current standards documents conflict in their recommendations about…

This aim of this study is to identify the effectiveness of the use of Geometer's Sketchpad (GSP) in the teaching of circle among Form Two students. The quasi-experimental study was to investigate the following two aspects, namely the effectiveness of GSP on learning Circle and a survey instrument was used to elicit students' perception on the use…

This study is aimed at comparing the content in mathematics textbooks from Japan and England, focusing on symmetry and transformations at the lower secondary level. We adopted the concept of praxeology, a main construct of the Anthropological Theory of the Didactic (ATD). Using the ATD framework, our approach regarded textbooks as an empirical…

Teacher self-efficacy and teaching practices are both related to effective teaching and learning of mathematics. Given the theoretical and empirical basis for the importance of teacher self-efficacy, we hypothesized that teacher reported self-efficacy would be positively related to teacher self-reported effective teaching practices. This study…

While research in mathematics education has shown that mathematics assessments are highly consequential, traditional assessments often lag behind advancements in instructional methods. One such advancement is the promotion of mathematical habits of mind such as students' abilities to critique others' reasoning. This study explored the use of…

Teachers' pedagogical ability contributes significantly to their process and learning performance. To improve it, a development process is needed as long as they are still having their process of education or they are still teacher students. This study aimed to develop a valid and practical PMRI learning environment through lesson study which had…

We report our findings and perspective to document the knowledge exhibited by three experienced high school teachers in their instructional decisions for lessons on the equation of an exponential function. We describe the nature of the mathematical ideas and connections teachers promoted in discourse and the decisions that supported the emergence…

This paper presents the design and analysis of a Model-Eliciting Activity (MEA), which aims to support the refinement of the conceptual system associated with directly proportional distribution problems (example: linear function, percentage, proportion, variation, etc.). The situation explores a context that is close to the student, encouraging…

The purpose of this research study is to characterize secondary teachers' orientations toward mathematics engagement. Results indicated that these 16 high school mathematics teachers tended to emphasize a cognitive dimension for engagement in their orientations, usually intertwined with an additional dimension (affective, social, or behavioral).…

This study is the result of the completion of my dissertation, for the needs of which, in parallel with the literature review, a quantitative research was conducted to assess the learning climate and feedback in the classroom of mathematics as perceived by 50 students who participated. The purpose of the research is to highlight relevant issues…