Mathematics

Using Audio-Visual Materials to Promote Active Learning

Using Collaborative/Cooperative Methods or Group Work to Promote Active Learning

Using Computer Aided Instruction to Promote Active Learning

Using Demonstrations or Lab Activities to Promote Active Learning

Using Discussion, Debate, or Student Presentations to Promote Active Learning

Using Games or Simulations to Promote Active Learning

Using Tests to Promote Active Learning

Using Writing Activities to Promote Active Learning



Using Audio Visual Materials to Promote Active Learning

Berry, J., & Huntley, I. (1986). Video--a new resource in the teaching of mathematics. International Journal of Mathematical Education in Science and Technology, 17(4), 403- 405.

Harding, C. M., & Others. (1981). A comparison of two teaching methods in mathematical statistics. Studies in Higher Education, 6(2), 139-146.

Kissock, C. (Ed.). (1986, July). Mathematics: Videotapes for inservice training for active learning. Morris, MN: University of Minnesota. (ERIC Document Reproduction Service No. ED 286 752).

Pokrass, R., & Others. (1992, October). Enhancing student success through the use of interactive videodisc technology. Paper presented at the Annual Computer Conference of the League for Innovation in the Community College. (ERIC Document Reproduction Service No. ED 350 043).

Schneider, D. I. (1980). An annotated bibliography of films and videotapes for college mathematics. Washington, DC: Mathematical Association of America. (ERIC Document Reproduction Service No. ED 206 446).

Using Collaborative/Cooperative Methods or Group Work to Promote Active Learning

Alibert, D. (1988, June). Towards new customs in the classroom. For the Learning of Mathematics: An International Journal of Mathematics Education, 8(2), 31-35, 43.

Artzt, A. F., & Newman, C. M. (1990). Cooperative learning. Mathematics Teacher, 83(6), 448-452.

Asera, R. (1988). The mathematics workshop: A description. Berkeley, CA: University of California at Berkeley.

Barbut, E. (1987). Abstract algebra for high school teachers: An experiment with learning groups. International Journal of Mathematical Education in Science and Technology, 18(2), 199-203.

Bassarear, T., & Davidson, N. (1992). The use of small group learning situations in mathematics instruction as a tool to develop thinking. In N. Davidson, & T. Worsham (Eds.), Enhancing thinking through cooperative learning. NY: Teachers College Press.

Borresen, C. (1990, Winter). Success in introductory statistics with small groups. College Teaching, 38(1), 26-28.

Davidson, N. (1990). Cooperative learning in mathematics: A handbook for teachers. Menlo Park, CA: Addison-Wesley Publishing Company, Inc. (ERIC Document Reproduction Service No. ED 335 227).

Davidson, N., & Kroll, D. L. (1991, November). An overview of research on cooperative learning related to mathematics. Journal for Research in Mathematics Education, 22(5), 362-365.

Dees, R. L. (1991, November). The role of cooperative learning in increasing problem-solving ability in a college remedial course. Journal for Research in Mathematics Education, 22(5), 409 421.

Garland, M. (1993, Spring). The mathematics workshop model: An interview with Uri Treisman. Journal of Developmental Education, 16(3), 14-16, 18, 20, 22.

Gersting, J. L., & Kuczkowski, J. (1977, November). Why and how to use small groups in the mathematics classroom. Two-Year College Mathematics Journal, 8(5), 270-274.

Lochhead, J., & Whimbey, A. (1987). Teaching analytical reasoning through thinking aloud pair problem solving. New Directions for Teaching and Learning, (30), 73-92.

MacDonald, R. (1993, Winter). Group tutoring techniques: From research to practice. Journal of Developmental Education, 17(2), 12-14, 16, 18.

McKen, R., & Davidson, N. (1975). An alternative to individual instruction in mathematics. American Mathematical Monthly, 82, 1006-1009.

O'Brien, M. (1991, May). CHEMATH: A learning community in science and math. Lynwood, WA: Edmonds Community College. (ERIC Document Reproduction Service No. ED 336 157).

Sallee, G. T. (1979, August/September). Teaching 200 students in a personal way. American Mathematical Monthly, 86(7), 589-590.

Schwartz, R. H. (1992, Fall). Revitalizing liberal arts mathematics. Mathematics and Computer Education, 26(3), 272-277.

Sutton, G. O. (1992, January). Cooperative learning works in mathematics. Mathematics Teacher, 85(1), 63-66.

Urion, D., & Davidson, N. (1992, September). Student achievement in small-group instruction versus teacher-centered instruction in mathematics. Primus, 2(3), 257-264.

Weissglass, J. (1976, February). Small groups: An alternative to the lecture method. Two-Year College Mathematics Journal, 7(1), 15-20.

Wepner, G. (1985, Fall). Successful math remediation: Training peer tutors. College Teaching, 33(4), 165-167.

Witkowski, J. (1988, Fall). Solving problems by reading mathematics. College Teaching, 36(4), 162-165.

Using Computer Aided Instruction to Promote Active Learning

Berenson, S. B., & Stiff, L. V. (1991, Winter). Uses of instructional technologies: First year report on change at a university. Journal of Computers in Mathematics and Science Teaching, 10(2), 11 19.

Blass, B. (1992, January). The use of computers in the math classroom. Paper presented at the Annual Winter Institute on Community College Effectiveness and Student Success. (ERIC Document Reproduction Service No. ED 350 040).

Brothen, T. (1992, Spring). Ideas in practice: A developmental education approach to computer assisted content instruction. Journal of Developmental Education, 15(3), 32-35.

Cornez, R., Beery, J., & Scherer, M. (1993, Spring). A computer-based calculus curriculum. College Teaching, 41(2), 47-49.

Danesh, I. (1987, Summer). Incorporation of Monte-Carlo computer techniques into science and mathematics education. Journal of Computers in Mathematics and Science Teaching, 6(4), 30-36.

Flusser, P., & Hanna, D. (1991, Spring). Computer simulation of the testing of a statistical hypothesis. Mathematics and Computer Education, 25(2), 158-164.

Heid, M. K. (1988, January). Resequencing skills and concepts in applied calculus using the computer as a tool. Journal for Research in Mathematics Education, 19(1), 3-25.

Howson, G. (1985). The impact of computers on mathematics education. Journal of Mathematical Behavior, 4, 295-303.

Jones, K. (1992, Fall). Gedankensimulation: An intuitive way to communicate statistical ideas. Mathematics and Computer Education, 26(3), 292-306.

Judson, P. (1991, Summer). A computer algebra laboratory for calculus I. Journal of Computers in Mathematics and Science Teaching, 10(4), 35-40.

Kerley, L. (1990, Fall). Using computer graphics in statistics. Mathematics and Computer Education, 24(3), 232-239.

Lappan, G. (1985, June). Probability and computers: Simulate, then analyze. Creative Computing, 11(6), 70-72.

Meyer, R. (1991, Winter). A classroom note on integrating literacy activities into the mathematics classroom. Mathematics and Computer Education, 25(1), 38-41.

Smith, J. D., & Others. (1981, April). PLATO in the community college: Students, faculty, and administrators speak out. Paper presented at the Annual Convention of the American Educational Research Association. (ERIC Document Reproduction Service No. ED 214 549).

Smith, D., Porter, G., Leinbach, L., & Wenger, R. (Eds.). (1988). Computers and mathematics: The use of computers in undergraduate instruction (MAA Notes 9). Washington, DC: Mathematical Association of America.

Steen, L. A. (1989, September). Teaching mathematics for tomorrow's world. Educational Leadership, 7(1), 18-22.

Tall, D., & Thomas, M. (1991, April). Encouraging versatile thinking in algebra using the computer. Educational Studies in Mathematics, 22(2), 125-147.

Verderber, N. (1992, May). Tin cans revisited. Mathematics Teacher, 85(5), 346-349.

Wood, J. B. (1992, October). The application of computer technology and cooperative learning in developmental algebra at the community college. Paper presented at the Annual Computer Conference of the League for Innovation in the Community College. (ERIC Document Reproduction Service No. ED 352 099).

Using Demonstrations or Lab Activities to Promote Active Learning

Mitchell, R. (1992, December). The preconception-based learning cycle: An alternative to the traditional lecture method of instruction. Primus, 2(4), 317-334.

O'Mahony, R. M., & Jackson, J. (1984). Some reasons for a need to change the approach to trigonometry instruction and a proposal for change. CA: College of San Mateo. (ERIC Document Reproduction Service No. ED 250 027).

Robinson, P. (1990, May). A study of the self-paced math lab approach to developmental algebra compared to the traditional lecture method at Brenau. GA: Brenau College. (ERIC Document Reproduction Service No. ED 328 452).

Sterrett, A., & Karian, A. (1978, February). A laboratory for an elementary statistics course. American Mathematical Monthly, 85(2), 113-116.

Tometsko, N., & Others. (1991, October). Sharing teaching ideas. Mathematics Teacher, 84(7), 541-546.

Using Discussion, Debate, or Student Presentations to Promote Active Learning

Alibert, D. (1988, June). Towards new customs in the classroom. For the Learning of Mathematics: An International Journal of Mathematics Education, 8(2), 31-35, 43.

Briggs, A. W., Jr. (1993, February). Mathematics for liberal arts students. American Mathematical Monthly, 100(2), 162-166.

Cherkas, B. M. (1992, Summer). A personal essay in math? Getting to know your students. College Teaching, 40(3), 83-86.

Clute, P. S. (1984, January). Mathematics anxiety, instructional method, and achievement in a survey course in college mathematics. Journal for Research in Mathematics Education, 15(1), 50 58.

Cobb, P., Yackel, E., & Wood, T. (1992, January). A constructivist alternative to the representational view of mind in mathematics education. Journal for Research in Mathematics Education, 23(1), 2-33.

Cobb, P., Yackel, E., & Wood, T. (1992, February). Interaction and learning in mathematics classroom situations. Educational Studies in Mathematics, 23(1), 99-122.

Feldman, L. (1983, November). Focus on the question for intermediate algebra. Paper presented at the AMATYC National Convention. (ERIC Document Reproduction Service No. ED 237 334).

Gourgey, A. F. (1992, Spring). Tutoring developmental mathematics: Overcoming anxiety and fostering independent learning. Journal of Developmental Education, 15(3), 10-12, 14.

Hoyles, C. (1985, May). What is the point of group discussion in mathematics? Educational Studies in Mathematics, 16(2), 205-214.

Narode, R. (1989, August). A constructivist program for college remedial mathematics at the University of Massachusetts, Amherst. Amherst, MA: University of Massachusetts. (ERIC Document Reproduction Service No. ED 309 988).

Petricig, M. (1988, May). Combining individualized instruction with the traditional lecture method in a college algebra course. Mathematics Teacher, 81(5), 385-387.

Steen, L. A. (1990, April). Making math matter. Instructor, 99(8), 21-23.

Steen, L. A. (1991, July/August). Reaching for science literacy. Change, 23(4), 10-19.

Wildfogel, D. (1983, January). A mock symposium for your calculus class. American Mathematical Monthly, 90(1), 52-53.

Wolfe, C. R. (1992, Spring). Flipping frisbees and finding flowers: Developing statistical intuition. College Teaching, 41(2), 60.

Wolfe, C. R. (1993, Winter). Quantitative reasoning across a college curriculum. College Teaching, 41(1), 3-9.

Yerushalmy, M., Chazan, D., & Gordon, M. (1990). Mathematical problem posing: Implications for facilitating student inquiry in classrooms. Instructional Science, 19(3), 219-244.

Using Games or Simulations to Promote Active Learning

Dambolena, I. (1986). The t distribution and computer simulation. Mathematics and Computer Education, 20(1), 10-13.

Eyob, E. (1990, Summer). Computer simulation of a queuing system in a mathematical modeling course. Journal of Computers in Mathematics and Science Teaching, 9(4), 89-94.

Flusser, P., & Hanna, D. (1992, Spring). Computer simulation of the testing of a statistical hypothesis. Mathematics and Computer Education, 25(2), 158-164.

Gordon, S., & Gordon, F. (1990, Spring). Applications of Monte Carlo methods in calculus. AMATYC Review, 11(2), 9-14.

Gordon, F. (1987, Winter). Computer graphics simulation of the central limit theorem. Mathematics and Computer Education, 21(1), 48-55.

Jones, K. (1992, Fall). Gedankensimulation: An intuitive way to communicate statistical ideas. Mathematics and Computer Education, 26(3), 292-306.

Kersten, T. (1983, November). Computer simulations to clarify key ideas of statistics. Two-Year College Mathematics Journal, 14(5), 416-421.

Lappan, G., & Winter, M. (1985, June). Probability and computers: Simulate, then analyze. Creative Computing, 11(6), 70-72.

Schilling, M. F. (1990, May). The longest run of heads. College Mathematics Journal, 21(3), 196 207.

Shillor, I., & Egan, B. (1993). The King Alfred's College math games: Problem solving and mathematical activity. Educational Studies in Mathematics, 24(3), 313-317.

Sundar, V. (1989, March). An interactive approach to problem solving: The relay format. Mathematics Teacher, 82(3), 168-172.

Velleman, D. (1992, February). Rubik's tesseract. Mathematics Magazine, 65(1), 27-36.

Watson, F. R. (1980, July). A simple introduction to simulation: Parts I and II. England: Keele University. (ERIC Document Reproduction Service No. ED 213 575).

Watson, F. R. (1980, June). Some exercises in simulation (pupil materials). England: Keele University. (ERIC Document Reproduction Service No. ED 213 595).

Using Tests to Promote Active Learning

Fetta, I., & Harvey, J. (1990). Technology is changing tests and testing. UME Trends, 1-4.

Johnson, C. W. (1989, October). The association between testing strategies and performance in college algebra, attitude towards mathematics, and attrition rate. School Science and Mathematics, 89(6), 468-477.

Using Writing Activities to Promote Active Learning


Ganguli, A. B. (1989, Fall). Integrating writing in developmental mathematics. College Teaching, 37(4), 140-142.

Gopen, G., & Smith, D. (1990, January). What's an assignment like you doing in a course like this? Writing to learn mathematics. College Mathematics Journal, 21(1), 2-19.

Madigan, C. (1987, February). Writing across the curriculum resources in science and mathematics. Journal of College Science Teaching, 250-253.

Meyer, R. W. (1991, Winter). A classroom note on integrating literacy activities into the mathematics classroom. Mathematics and Computer Education, 25(1), 38-41.

Miller, L. D., & England, D. A. (1989, April). Writing to learn algebra. School Science and Mathematics, 89(4), 299-312.

Miller, L. D. (1992). Begin mathematics class with writing. Mathematics Teacher, 85, 354-355.

Miller, L. D. (1992, July). Teacher benefits from using impromptu writing prompts in algebra classes. Journal for Research in Mathematics Education, 23(4), 329-340.

Paik, M. K., & Norris, E. M. (1984). Writing in mathematics education. International Journal of Mathematical Education in Science and Technology, 15(2), 245-252.

Price, J. J. (1989, November). Learning mathematics through writing: Some guidelines. College Mathematics Journal, 20(5), 393-401.

Sterrett, A. (1990). Using writing to teach mathematics (MAA Notes 16). Washington, DC: Mathematical Association of America.

Whitesitt, J. (1990). Writing study cards for understanding. Mathematics Teacher, 83, 453-456.



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