Space is a topic most learners find engaging. This article set out a short project investigating meteorite impacts, both practically and using simulations, and suggests resources that could be used. The formation of craters, such as those on the Moon caused by objects landing on its surface, is used to illustrate a study plan. The project is…

This study explores the integration of Design Thinking into the Key Stage 3 Design and Technology (D&T) curriculum at a school in North-West England, focusing on fostering 21st-Century Skills alongside subject-specific knowledge. The research draws on a multiple case study approach derived from the 'Solving Genuine Problems for Authentic Users…

In many Western countries, there has been an emphasis on ways in which to support teachers to shift practice from traditional mathematics instruction to inquiry-based classrooms. As a form of professional learning and development, lesson study offers the potential for teachers to develop their ability to respond to students' thinking through…

This study is focused on identifying and describing the reasoning patterns of middle grade students when examining potentially similar figures. Described here is a framework that includes 11 strategies that students used during clinical interview to differentiate similar and non-similar figures. Two factors were found to influence the strategies…

The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…

Like algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential…

This study of fourth-grade students and teachers explores mathematics teaching and learning that focuses on discovering and modeling algebraic relationships. The study has two parts: an investigation of how students learn to construct algebraic statements and models for comparisons and measurement situations in the multiplicative domain, and an…

This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures…

For over three years, University of Arizona staff have been reviewing middle school curricular materials in various content areas to identify exemplary models. Study disclosed only 1 exemplary mathematics curriculum (18-year-old Real Math series by Open Court) and only 1 superior science curriculum (Canadian Science Plus series). No comprehensive…

Describes a teaching experiment conducted with fourth grade students in field of experience of gears. Identifies characteristics which, given suitable sequence of tasks and proper teacher guidance, have enabled pupils to approach theoretical thinking. Presents early findings of the teaching experiments at the external level of interpersonal…

Studied the introduction of talk and writing to stimulate and sustain conceptual change in science in a class of 12 Italian fourth graders. Data show that reasoning and arguing collaboratively and writing to express and reflect on conceptualizations are useful tools in the knowledge revision process. (SLD)

Can children reason the Bayesian way? We argue that the answer to this question depends on how numbers are represented, because a representation can do part of the computation. We test, for the first time, whether Bayesian reasoning can be elicited in children by means of natural frequencies. We show that when information was presented to fourth,…

Defines analogies, discusses the benefits of teaching students to create analogies, and presents a strategy for analogy instruction with numerous classroom applications. Using professionally prepared materials, teachers can help students engage in analogous thinking by analyzing different kinds of relationships, balancing terms, creating original…

According to one principal, an attention-getting fourth-grader's quick wit, creative excuses, and impish pranks demonstrated a high degree of thinking. Although the student's intellectual prowess defied testing and he was never viewed as a "smart" kid, he had a special kind of intelligence not often appreciated in school. (MLH)

Cover story, in the sense of context, is a potentially relevant factor in the assessment of reasoning and problem solving in science, given repeated demonstration of its effects on laboratory tasks. This study follows up on a preliminary interview study that showed cover story influenced the way students were assessed at the end of an…