This paper reports on teachers? practical knowledge [PK] about peer interactions [PI] in learning mathematics. The focus is on high school teachers who consistently engaged students PI in their teaching. Data consisted of interviews and classroom observations. Findings indicate that these teachers have PK of students? roles in PI and learning…

This paper considers a group of preservice teachers' construction of concept maps derived from y = x + 5 and y = [pi]x[squared] with emphasis on their conceptual understanding of function. The two statements are perceived to represent a number of different concepts with indications of compartmentalized knowledge structures that might prevent the…

The study was designed to support teachers on designing problem-posing tasks to understand students' mathematical learning. Seven classroom teachers and the researcher collaboratively set up a school-based team participating in an assessment project that assists teachers in implementing assessment integral to instruction. Four categories that the…

The study was designed to enhance teachers' understating of students' learning by using assessment tasks. Four third-grade teachers and the researcher collaboratively set up a school-based assessment team in the two-year Assessment Practices in Mathematics Classroom project that assisted teachers in implementing assessment as integral part of…

This paper offers a brief description of the Taiwanese elementary school system. It also outlines the current teacher training system, emphasizing the differences between the old "Normal Education Art" and the new "Teacher Education Art". One section describes the three major reforms that Taiwan's mathematics curriculum has undergone in the last…

Computer programing should not be confused with programed instruction (PI) or computer-assisted instruction (CAI). PI and CAI are processes that demand that the student assume a passive and docile role, whereas, programing is an active, dynamic process in which the student is required to instruct the computer how to perform certain basic…

In order to compose equivalent certification tests in the basic skills in reading, mathematics calculations and applications, and writing for high school graduation requirements, the San Jose Unified School District, California, used the Rasch computer program to arrive at the scaled difficulty level of test items. The procedure for achieving a…