This study aims to establish a knowledge base on how to support students in learning. We develop an initial hypothetical learning trajectory by formulating learning activities and predicting the development of students' thinking and understanding. The methodological framework employed in this study is design research, which seeks to generate…

This paper reports on a teaching experiment on mathematical modelling in an upper secondary school class that investigates how the constructs of "model eliciting" and "emergent modelling" may be brought together to inform teaching and learning. A prominent role is covered by the process of task design, seen as a complex process…

Australian students' attitudes to mathematics are in decline relative to other countries. Their participation in senior secondary mathematics that provide pathways to further study is also falling. Pedagogical approaches that improve students' attitudes to mathematics and knowledge of mathematics are required. This paper reports on preservice…

Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). The authors bring together the experiences and key research-based findings of four different groups of teacher educators that created effective professional development…

We are in a period of unknowns unlike any in a generation or more. As educators, we need new pathways and ideas that can help us educate children for the world to come. "Reimagining the Classroom: Creating New Learning Spaces and Connecting with the World" provides practical steps and examples that parents and educators can use to begin…

The connections the "Next Generation Science Standards" ("NGSS") creates between science content and practices to literacy and mathematics are especially beneficial at the elementary level. In this article, the authors present a series of lessons a second-grade teacher taught within a thematic unit that integrated standards…

In this paper we frame our observations in enactivism, specifically problem posing, to propose the notion of problem drift as a method to analyze the curriculum generating actions of small group learning systems in relation to teacher interventions intended to trigger specific content goals. Teacher attentiveness to problem drift is suggested to…

In this study, we aimed at demonstrating the power of Variation Theory in exploring the local situation of Indonesian teachers and Teacher Professional Development program. The projection of Variation theory regarding the enterprise of teaching results on the need of sensitivity of students and exemplary teaching strategy that differ with teachers…

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…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

This resource publication is primarily intended to aid elementary teachers in bringing each of their students to a higher level of mathematical competency. While the material has been designed for use in grades K-8, parts are considered appropriate for basic skills reinforcement at the secondary level. The document opens with a review of current…

This compilation is drawn from the IDEAS section that has been a feature of the "Arithmetic Teacher" since 1971. The contents are arranged in the following categories: Numeration, Computation, Geometry, Measurement, and Problem Solving. All selections are reprinted just as they originally appeared in the journal. On one side of each page is the…

Step-by-step directions instruct primary and elementary level resource teachers, classroom teachers, and aides who provide direct instruction to students about how to meet the individual mathematics learning needs of Oregon migrant children (9,797 eligible in 1980-81) through the technique of predrafted Individual Short-term Plan/Records. In this…

This collection of brief essays covers a range of topics pertaining to mathematics education thought by the author to be of relevance. These include thoughts on: philosophy of education, noting diverse schools of thought; goals, noting ways to organize mathematics instruction; process objectives, with a brief list of objectives and comments on…

This mathematics curriculum guide is one of a series developed by the Kendall Demonstration Elementary School (KDES), which serves hearing-impaired students in grades 1-8, to provide a clear representation of the school's programs in various subject areas. Essential classroom practices in the areas of planning, instruction, and evaluation are…