This is a descriptive research on the difficulties of Filipino high school students in translating algebraic word problems into mathematical equations. This research is composed of three parts: (1) development of an 11-page "Filipinized" questionnaire; (2) analysis of the mathematical thinking processes of the respondents based on the answers to…

The article deals with the way in which authority was established and interpreted by teachers and students in two Flemish sixth-grade mathematics classrooms. Problem-solving lessons during a seven-month observation period were analysed regarding three aspects of teacher-student interactions that explicitly or implicitly reflect who bears…

Much attention has been devoted in the literature to students' struggles with fraction division. With regard to the traditional invert and multiply algorithm, researchers and educators have examined such areas as typical errors, how to help students understand why this method works, and what alternatives are available that might be more intuitive.…

Mr. Carter is about to start a two-day lesson on subtraction of integers with his sixth-grade prealgebra students. He plans to use contextualized problems that will allow his students to develop an interpretation of subtraction that involves the idea of "difference." This article outlines one way to teach students develop number line…

In this article, the author describes the Launch-Explore-Summarize teaching model which provides a way to structure how students participated in tasks. Shifting the structure of lessons helped the author foster her desired mathematical environment. This approach to teaching was different for her in that it recommended giving students very little…

An alternating treatments design with a control condition was used to evaluate and compare the effects of two taped-problem interventions on addition fact fluency. Both taped-problem interventions were identical with the exception of the time delay between the auditory cue of the problem and the answer. One condition used a 2-s delay and the other…

This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such…

This paper reports on the types of problems that high-achieving students posed when given investigative tasks that were constructed by opening up some mathematical problems. A teaching experiment was conducted to develop the students' thinking processes during mathematical investigation, and each student was videotaped thinking aloud during a…

Students are often encouraged to work on problems "like mathematicians"--to be persistent, to investigate different approaches, and to evaluate solutions. This behavior, regarded as problem solving, is an essential component of mathematical practice. Some crucial aspects of problem solving include defining and interpreting problems, working with…

This research aims to produce a Learning Trajectory Based Instruction (LTBI) that can help the ninth grade students understand the concept of congruence of the two-dimensional shape by examining Lawang Sewu as one of Central Java historical buildings. LTBI is defined as a teaching and learning trajectory that uses Hypothetical Learning Trajectory…

South Asian approaches to teaching mathematics have been influential globally and are entangled with mastery approaches. This study investigates changing strategies and beliefs of Primary School teachers in England as they engage with a sustained curriculum development project. The teachers were working with a commercially available text book…

At the heart of the National Council of Teachers of Mathematics' (NCTM) "Principles to Actions: Ensuring Mathematical Success for All" (2014) is the development of professional practices such as eliciting and using evidence of student thinking, supporting productive struggle in learning mathematics, and posing purposeful questions. In…

Mathematical problem solving is necessary in many facets of everyday life, yet little research exists on how to teach students with more severe disabilities higher order mathematics like problem solving. Using a multiple probe across participants design, three middle school students with moderate intellectual disability (ID) were taught to solve…

DNA barcoding is increasingly being introduced into biological science educational curricula worldwide. The technique has a number of features that make it ideal for science curricula and particularly for Project-Based Learning (PBL). This report outlines the development of a DNA barcoding project in an Australian TAFE college, which also combined…

Math is increasingly recognized as a critical part of what young children are exposed to and learn in early childhood programs. Geometry is one of three focal areas emphasized for early childhood, and opportunities for geometry learning are present in many manipulatives present in early childhood classrooms. Yet geometry remains an understudied…