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Facilitator's Guide to Ways to Think about Mathematics

Facilitating mathematical investigations with teachers will help improve their teaching! National and state standards suggest that mathematical investigation, problem solving, and exploratory learning should play a central role in mathematics lessons. It is therefore necessary for teachers to experience mathematical explorations as learners themselves. This Facilitator Guide and accompanying CD-ROM provides resources for planning and implementing courses and workshops using Ways to Think About Mathematics by containing: Commentary on the activities Pedagogical suggestions (materials sequencing, promoting active participation, adapting to the needs of particular teachers) Additional reading and problems tied to the content of the main text Sample solutions for all problems and discussion questions

Remember that they're not being asked to prove these statements. they're being
asked to determine which of each pair seems most likely to lead somewhere.
Have the whole group share strategies and "rules of thumb." But don't let the time
get away from you — you need to be sure there's enough time to get to problem
20. Problem 6 (10 minutes) This will be an excellent opportunity for group sharing
and comparing. How do participants think about these problems? Is there
agreement ...

Goals for the correlation of elementary science and mathematics

the report

This experience should help to establish the synergistic relationship between
science and mathematics, and also to reveal the relevance of these disciplines to
the real world and to nearly every human endeavor. SECTION ... Computers
provide teacher and student with an arsenal of techniques for exploration,
analysis, and computation nowhere else available. However ... There is evidently
strong motivation in executing one's own program, and a useful mechanical skill
is developed.

Sequential Mathematics Course II

This computer software program is designed to make study and preparation for the New York State Regent Exam easier. It can be used in the classroom and at home by students. The Sequential Math Course II prorgam contains computerized versions of three complete Regents Exams with answers, handsome color graphics, and a timing feature to help students pace themselves. A copy of "Barron's Regents Exams and Answers" book in Sequential Math Course II is also enclosed to provide extra test preparation.

A copy of "Barron's Regents Exams and Answers" book in Sequential Math Course II is also enclosed to provide extra test preparation.

Cooperative Learning and the Gifted Student in Elementary Mathematics

The research was a quantitative research project dealing with Florida Comprehensive Assessment Test (FCAT) Mathematics scores of fourth grade students, including gifted and high-achieving students, in 2008-2009 under the exposure of daily cooperative learning in mathematics. The problem statement was as follows: In Polk County, Florida, how does cooperative learning affect the FCAT Mathematics scores among fourth grade students, including gifted and high-achieving students? The purpose of the quasi-experimental study was to explore the relationship of cooperative learning versus traditional learning on their student achievement. The null hypothesis was that cooperative learning would have no effect on fourth grade gifted Mathematics FCAT scores at an experimental school in Polk County, Florida. The findings demonstrated that there was no difference in fourth grade FCAT Mathematics scores between students who participated in cooperative learning versus traditional learning. In addition, there was no difference in fourth grade gifted and high-achieving students' FCAT Mathematics scores who participated in cooperative learning on a daily basis in mathematics instruction versus fourth grade gifted and high achieving students' FCAT Mathematics scores who participated in traditional learning on a daily basis in mathematics instruction. Suggestions for further research were included.

The research was a quantitative research project dealing with Florida Comprehensive Assessment Test (FCAT) Mathematics scores of fourth grade students, including gifted and high-achieving students, in 2008-2009 under the exposure of daily ...

Student Discussions in Cooperative Learning Groups in a High School Mathematics Classroom

A Descriptive Case Study

Teachers want and need students to excel in the classroom. Cooperative learning is one method recognized to address this. Numerous researchers have shown that cooperative learning leads to improved skills in teamwork and communication in other fields (Johnson and Johnson, 2007; Slavin, 1995). Cooperative learning used in this study showed that the secondary math students benefited socially and academically through effective student communication. This case study reported observational evidence concerning the patterns and experiences of student interaction in discussions within cooperative learning groups in several high school geometry classes. Developed from data collected in observations, audiotapes, and student journals/notebooks, a multiple-case study was used to examine the discussions of two groups of students in cooperative learning groups. Each group participated in three activities: Placemat, to build team camaraderie; Numbered Heads, to strengthen positive interdependence; and STAD, to ensure individual accountability. Four patterns emerged when examining the data: change in attitude toward cooperative learning, the development of trust, group regulation, and the facilitation of math learning. Students showed a more positive feeling toward cooperative learning, stated an increased appreciation for cooperative learning, developed trust in their group members, and were able to analyze what they were doing well and what areas needed work. Math learning occurred when the students demonstrated how they solved problems by communicating using mathematical concepts and language.

Teachers want and need students to excel in the classroom.

Cooperative Learning in Undergraduate Mathematics

Issues that Matter and Strategies that Work

Topics include how to develop a positive social climate, form groups, and prevent or resolve difficulties, as well as a number of theoretical issues. The book lacks a subject index. c. Book News Inc.