In this article, the authors explore how the 3C Model can be used to integrate other curriculum areas with mathematics, namely digital technologies. To illustrate the model, they provide a practical example of a teaching sequence. T he 3C Model is designed to create opportunities for applying reasoning and problem-solving skills and learning…

International comparative studies on mathematics teaching and learning often provide unitary and harmonious images of classroom practices. This paper aims to complement those studies by describing the complex aspects of those practices. Adopting activity theory as a framework, this paper considers classroom teaching and learning of mathematics as…

This paper introduces and summarises a programme of German research into teaching started 20 years ago. This research draws on Herbart's analysis of teaching with its focus on 'Bildung' (formation) which is distinguished from the measurement/psychometric tradition. It offers the possibilities of a deeper empirical understanding of pedagogical…

Austin Independent School District (AISD) teacher appraisal results from 2014-2015 were used to identify areas of need for professional development in 2015-2016. Results from the Professional Development and Appraisal System and Professional Pathways for Teachers (PPfT) were included. A separate executive summary also was published. [For the…

Students in this post-industrial technological age require opportunities for the acquisition of new skills, especially in the marketplace of innovation. A pedagogical strategy that is becoming more and more popular within social studies classrooms is the use of computer and video games as enhancements to everyday lesson plans. Computer/video games…

This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…

Ambitious teaching is a form of teaching that requires a high level of teacher responsiveness to what students do as they actively engage with the subject matter. Thus, a teacher enacting ambitious teaching is often confronted with uncertainties about how to advance students' learning while also building on students' contributions. In…

This study aimed at investigating teachers' classroom practices, which either stimulate or inhibit the development of the creative environment of classrooms in Jordan, and determining the differences between practices according to educational level, experience level and type of teaching. The sample of the study consisted of 215 kindergarten…

This paper defines correlation, describes the Mix It Up program, discusses the teachers' beliefs about the value of correlating mathematics and science prior to program participation, and identifies problems teachers associated with correlation before and during the program. Teachers' beliefs about the value of correlation and about the problems…

Following the Guidelines for Assessment and Instruction in Statistics Education (GAISE) recommendation to use real data, an example is presented in which simple linear regression is used to evaluate the effect of the Montreal Protocol on atmospheric concentration of chlorofluorocarbons. This simple set of data, obtained from a public archive, can…

Constructivism emphasizes the learner as an active meaning maker and problem solver. This article reviews constructivism's basic principles, analyzes implications for curriculum work, and explores a constructivist unit-development process. Planners must decide degree of curricular integration, establish unit parameters, identify the problem, draft…

This curriculum is proposed to enhance problem-solving ability through learning to program in BASIC. Current research shows development of problem-solving skills from learning to program in BASIC. Successful treatments have been based on contemporary problem-solving theory, top-down, modular programing, and rigorous length and intensity. The…

The process of conducting a task analysis is one of determining exactly and in greatest detail what people do when they perform a certain job, or what they need to know when they enter a certain course of study. A task analysis is sometimes, but not always, preceded by a needs assessment to identify discrepancies between training or educational…

Research conducted during the Trends in International Mathematics and Science Study (TIMSS) and later (Stigler et al. 1999; Stigler and Hiebert 1999) undertook a thorough analysis of lessons in the United States, Japan, and Germany. This article focuses on certain aspects of mathematics lessons in Russia. Specifically, the attempt is made to…

The standards developed for reform in mathematics education by the National Council of Teachers of Mathematics (NCTM) de-emphasize the algorithmic manipulation of mathematical symbols. The NCTM takes the position that the rapidly changing workplace is an environment that requires problem-solving skills with computers being used to perform routine…