The paper-and-pencil programming strategy (PPS) is a way of representing an idea logically by any representation that can be created using paper and pencil. It was developed for non-computer majors to improve their understanding and use of computational thinking and increase interest in learning computer science. A total of 110 non-majors in their…

In order to be successful in problem-or project-based learning (PBL), students must take responsibility for the learning process by setting goals, monitoring, reflecting, and sustaining their motivation from the beginning of the project until the end. However, for many students, these processes do not occur naturally or easily. Therefore, the…

This study explored a group of elementary teachers' ("n" = 35) learning to construct high-quality lesson plans that foster student understanding of fundamental mathematical ideas. The conceptual framework for this study was gleaned from the recently released Institute of Education Sciences (IES) recommendations, including (a)…

This study compared how students with learning difficulties in math (MLD) who were randomly assigned to two instructional conditions answered items on problem solving tests aligned to the Common Core State Standards Initiative for Mathematics. Posttest scores showed improvement in the math performance of students receiving Enhanced Anchored…

Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils' mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that…

Lack of satisfaction with the quality of the mathematical knowledge of non-mathematics majors has led to the design of new curricular materials. In this study, a mixed methods explanatory design was used to compare the performances of two groups of engineering majors enrolled in two courses on differential equations and investigate their written…

SProblem solving has a long and successful history in mathematics education and is valued by many teachers as a way to engage and facilitate learning within their classrooms. The potential benefit for using problem solving in the development of algebraic thinking is that "it may broaden and develop students' mathematical thinking beyond the…

Translating ethics knowledge into ethical behavior is much harder than it appears, writes Sternberg. In this article, he outlines an eight-step process that individuals must go through to act in an ethical way--for example, recognizing that there is an event to which to react, taking personal responsibility for generating an ethical solution to…

Both writing and math require purposeful teaching. This article describes how one teacher discovered that she could teach math in a way that paralleled how she taught writing by researching what students know and then nudging them ahead to the next level of understanding. Just as effective writers employ creativity, perseverance, and revising,…

Movie clips can provide data for content-rich problem solving, show students exotic phenomena, allow them to apply science concepts in a new setting, and foster connections between science and the humanities. Though the latest release will have the advantage of pop-culture currency, films old enough to be released on DVD give teachers more…

Tiny prisms in reflective road signs and safety vests have interesting geometrical properties that can be discussed at any level of high school mathematics. At the beginning of the school year, the author teaches a unit on these reflective materials in her precalculus class so that students can review and strengthen their geometry and trigonometry…

"Classroom number talks," five- to fifteen-minute conversations around purposefully crafted computation problems, are a productive tool that can be incorporated into classroom instruction to combine the essential processes and habits of mind of doing math. During number talks, students are asked to communicate their thinking when presenting and…

This paper discusses a chemistry lesson plan based on the use of ethanol as an alternative and renewable energy source. The lessons were developed by participatory action research and follow a socio-critical and problem-oriented approach to chemistry teaching. This approach specifically focuses on the handling of scientific and technological…

This paper explores the nature and source of mathematics homework and teachers' and students' perspectives about the role of mathematics homework. The subjects of the study are three grade 8 mathematics teachers and 115 of their students. Data from field notes, teacher interviews and student questionnaire are analysed using qualitative methods.…

The mathematical topic of inverse functions is an important element of algebra courses at the high school and college levels. The inverse function concept is best understood by students when it is presented in a familiar, real-world context. In this article, the authors discuss some misconceptions about inverse functions and suggest some…