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Full-Text Articles in Science and Mathematics Education
A Comparison Of Christian School And Public School Geometry Teachers Concerning The Beliefs Of Practices And Teaching Proofs, Benjamin Lane
A Comparison Of Christian School And Public School Geometry Teachers Concerning The Beliefs Of Practices And Teaching Proofs, Benjamin Lane
Doctoral Dissertations and Projects
Theorists contend that mathematics teachers' beliefs influence their practices; consequently, differing Christian and public school philosophies should lead to different practices. However, some researchers have questioned if Christian education is "truly distinct" from public education. Other researchers have noted that this question is still open and that the philosophical differences between Christian and public school teachers might not be translating into differences in practices. A causal-comparative study was conducted between Christian and public school geometry teachers to investigate these differences. This study took place in Florida and Georgia using an instrument designed to measure four different aspects of teaching geometry …
The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson
The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson
Department of Teaching, Learning, and Teacher Education: Faculty Publications
Explicit reasoning-and-proving opportunities in the United States are often relegated to a single secondary geometry course. This study analyzed the reasoning-and-proving opportunities in six U.S. geometry textbooks, giving particular attention to the chapter that introduced proof. Analysis focused on the types of reasoning-and-proving activities expected of students and the type of mathematical statement around which the reasoning-and-proving took place, be it general or particular. Results include the fact that reasoning-and-proving opportunities in student exercises were predominantly of the particular type, whereas textbook exposition most commonly had general statements. Within the chapters introducing proof, opportunities for students to develop proofs were …