This study aimed to investigate secondary mathematics teachers' noticing of students' mathematical thinking in the context of a professional development (PD) program utilizing modeling-based teacher investigations. The PD program was conducted with two groups of mathematics teachers from two public high schools. It included seven 1-month-long…

The Next Generation Science Standards (NGSS) are composed of three intertwined dimensions--disciplinary core ideas, science and engineering practices, and crosscutting concepts--that provide a foundation for what students should know and be able to do at various grade levels. The eight science practices outlined in the NGSS are critical components…

The present study investigated how children learn that some verbs may appear in the figure-locative but not the ground-locative construction (e.g., "Lisa poured water into the cup"; "*Lisa poured the cup with water"), with some showing the opposite pattern (e.g., "*Bart filled water into the cup"; "Bart filled the cup with water"), and others…

All children are born with the gifts of curiosity and creativity--and an insatiable appetite for asking questions to find out about the world in which they live. Fostering these questions and developing inquisitive and investigating minds is one of the essential roles of parent and teacher, and the processes of enquiry are the necessary routes for…

"A Framework for K-12 Science Education" identifies eight science and engineering practices for K-12 classrooms. These practices, along with core ideas and crosscutting concepts, define the nation's learning goals for science. The practices outlined in the framework are: (1) Asking questions and defining problems; (2) Developing and using models;…

The Next Generation Science Standards (NGSS)--now in development--will be based on "A Framework for K-12 Science Education" released by the National Research Council last summer. The "Framework" identifies seven scientific and engineering practices that should be used in science classrooms. These practices reflect the multiple ways in which…

Traditional multiple-choice concept inventories measure students' critical conceptual understanding and are designed to reveal students' naive or alternate ideas. The overall scores, however, give little information about the state of students' knowledge and the consistency of reasoning. This study investigates whether students have consistent…

A "Framework for K-12 Science Education" identified eight practices as "essential elements of the K-12 science and engineering curriculum" (NRC 2012, p. 49). Most of the practices, such as Developing and Using Models, Planning and Carrying Out Investigations, and Analyzing and Interpreting Data, are well known among science…

This book provides a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. It identifies the models, contexts, and landmarks that facilitate algebraic thinking in young students and provides insightful and practical methods for teachers, math supervisors, and…

Empirical investigations on students' conceptions of cell biology indicate major misunderstandings of scientific concepts even after thorough teaching. Therefore, the main aim of our research project was to investigate students' difficulties in learning this topic and to study the impact of learning activities on students' conceptions. Using the…

This article reports on the third year of a three-year longitudinal investigation into six secondary students' understanding of optics at a secondary school level. In the third year of this investigation the students, who by now were in Year 12, underwent a teaching sequence that centred on the teaching and learning of physical optics and quantum…

This article presents a study on how to improve the quality of Year 1 children's mathematical talk. Using a dictaphone, the children were recorded as they worked with their partner. Later, the children's responses were marked against a checklist of three types of talk: (1) disputational; (2) cumulative; and (3) exploratory. Throughout the study…

Discusses the inherent flaws in considering and using the epistemology of the natural sciences as equivalent to a pedagogic basis for teaching and learning in the natural sciences. Discusses the difference between practicing science and learning to practice science. Concludes with the presentation of three new motives for the use of laboratory…

Vertical connections, constructed using inquiry, give students the skills to reach new heights in both their academic and local communities. In this article, the authors present inquiry projects, developed by middle level teachers, to ensure that students use higher-level thinking skills to improve the community. Each project is connected to the…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…