How do students learn to explain? We take this exemplary research question for presenting two antagonist traditions in German mathematics education research and their synthesis in an ongoing video study. These two traditions are (1) the German Didaktik approach that can be characterized by its epistemologically sensitive analyses and…

Erich Christian Wittmann is one of the primary founders of mathematics education research as an autonomous field of work and research in Germany. The interview presented here reflects on his role in promoting mathematics education as a design science. The interview addresses the following topics: (1) The importance of subject matter in…

This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was…

The aim of this study is to investigate the effects of solution methods and question prompts on generalization and justification of non-routine problem solving for Grade 9 students. The learning activities are based on the context of the frog jumping game. In addition, related computer tools were used to support generalization and justification of…

The purpose of this study was to investigate the impact of anchored instruction on the students in secondary school math studies classrooms. This study adopted a quasi-experimental design. This research involved both quantitative and qualitative methods to investigate the effects of anchored instruction on students' academical achievement,…

The goal of this study was to understand how students' attitudes were connected to their mathematics learning and achievement. This investigation of students (n = 78) and their attitudes was specific to web-based homework in developmental mathematics courses in a two-year community college located in a large urban city in the United States. A…

This paper reports the findings of a study investigating junior secondary school students' perceptions of mathematics classroom learning environments in China. An adapted 'What Is Happening In this Classroom?' questionnaire was administered to a sample of 2324 junior secondary school students from 72 classrooms in six provinces.…

This study explored the factors that influenced the understanding of good mathematics teaching. A mixed methodology was used investigate the beliefs of beginning secondary teachers on good mathematics teaching. The two research instruments used in this study were the survey questionnaire and an interview. Beginning teachers selected Immediate…

This study was designed to investigate the relationship between the metacognitive awareness of university students and their solutions to the similar mathematical problem types. Participants were 97 freshmen from department of mathematics at a state university in Turkey. Two different scales were used for data collection: "Metacognitive…

In this paper, we examine selected literature on classroom-based research to understand how students and teachers (re)negotiate the language of interaction in a mathematics classroom when the official medium of instruction is different from the students' dominant language. We identify the tensions and dilemmas associated with the implementation of…

Solution set of any inequality or compound inequality, which has one-variable, lies in the real line which is one dimensional. So a difficulty appears when computer assisted graphical representation is intended to use for teaching these topics. Sketching a one-dimensional graph by using computer software is not a straightforward work. In this…

Articles from the National Science Teacher Association (NSTA) publications were analyzed to investigate resources available for teachers who want to implement interdisciplinary approaches into the science classroom. All articles in each journal from 2004 through 2008 were read an analyzed; approximately 13% of Science & Children (elementary), 21%…

The purpose of this paper is to analyze in detail the process in which a 5th grade student learned proportion and percent using double number lines and to obtain insights into how his use of those representations supported his learning. A series of lessons were designed and conducted in a class and the whole learning process of one student was…

Mathematics learning and achievement is one area of research that has gained momentum in recent years because of its importance as a subject in the school curriculum and its usefulness as a prerequisite for developing the quantitative and analytical skills. However, studies on factors affecting mathematics achievement in Malaysia are limited both…

In this study, an instrument, Using Mathematics in Science Self-efficacy Scale (UMSSS), was developed in order to determine preservice science teachers' self-efficacy toward the use of mathematics in their lessons. Data gathered from 250 preservice science teachers were used for Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis…