When we look at the theoretical relationships between the three types of geometry, we find that the most primitive type is topology and that both Euclidean and projective geometry are derived from this earlier type. Therefore, Piaget described the first stage or level of understanding geometry as topological understanding. In this study, the…

The advocacy for writing in science and STEM-related fields through reasoning-based writing, critical thinking and argumentation has been accentuated as a core competence in curriculum documents. In South Africa, the CAPS document for Physical Sciences acknowledged the importance of writing and consequently, call on teachers to engage in teaching…

Teachers often struggle to implement inquiry-based science teaching. To support them, IndagApp--a 3D educational app that offers curriculum-aligned, inquiry-based lesson plans--was designed. The app is rooted in the inquiry phases recommended in best-practices literature, which arguably align with most international standards. This study describes…

Recent research on teachers' use of student mathematical thinking (SMT) and recommendations for effective mathematics instruction claim that how teachers respond to SMT has great impact on student mathematical learning in the classroom. This study examined some Chinese mathematics teachers' responses to student in-the-moment mathematical thinking…

Despite agreement among teacher educators, scholars, and policymakers on the importance of teachers' subject matter knowledge (SMK), existing models provide limited information about the nature of this foundational component of teacher knowledge. The common assumption is that teachers need to know more about the science subject matter than their…

The aim of this study was to examine the concept development of decimal numbers in 244 Chinese elementary students in grades 4-6. Three grades of students differed in their intuitive sense of decimals and conceptual understanding of decimals, with more strategic approaches used by older students. Misconceptions regarding the density nature of…

In this study, we examined 10 expert and 10 novice teachers' noticing of classroom events in China. It was found that both expert and novice teachers, who were selected from two cities in China, highly attended to developing students' mathematics knowledge coherently and developing students' mathematical thinking and ability; they also paid…

This study compared one lesson across four U.S. "traditional" textbook series, two U.S. reform-based textbook series, and one Chinese mathematics textbook series in teaching the connection between multiplication and division. The results showed the differences across U.S. and Chinese lessons in both the teaching and the practice parts of…

This study examined the strategies used by pre-service teachers when responding to number sense related questions. 15 pre-service teachers from one University in Southern Taiwan were interviewed. Results indicated that about one-third of these pre-service teachers were able to use number sense strategies (such as understanding the meaning of…

Reports on the evaluation of the effect of the University of Iowa's program on the development of teachers' constructivist philosophies by participating Korean inservice high school science teachers (n= 70). Concludes that the effect of the workshop was significant and that learning was retained. Contains 11 references. (Author/ASK)

This study uses the context of the weather to explore the development of students' intuitive ideas of variation from pre-Grade 1 to Grade 9. Three aspects of understanding these intuitions associated with variation are explored in individual videotaped interviews with 73 students: explanations, suggestions of data, and graphing. The development of…

Examines the effects of a teaching strategy in which fifth-grade students evaluated the strengths or weaknesses of solution methods to pattern finding problems, including an experimental and control group each consisting of 34 elementary students, in Japan. The experimental group showed a significantly better performance on the retention test…

Reports selected findings from a study of number-sense proficiency in students aged 8 to 14 years in Australia, Sweden, the United States, and Taiwan. Comments on the meaning and importance of number sense, the development of the assessment instruments, and student responses to the items. Discusses some implications for classrooms. Contains 39…

The effects of bridging analogies teaching strategy and gender on Turkish high school students' misconceptions in mechanics were investigated. After a pilot study with 67 students in a nearby high school, the researchers' administered the revised Mechanics Misconception Test to 119 high school students as a pretest. Students in the experimental…

Describes a conceptual typology of models to help teachers select models appropriate to the cognitive ability of their students. Presents an example of how the systematic presentation of analogical models enhanced an 11th-grade chemistry student's understanding of atoms and molecules. Makes recommendations for teachers. Contains 28 references.…