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Download full textLockhead, Jack – 1989
This paper describes the implications of constructivism both for what to teach and for how to teach. The first part discusses three approaches on what to teach: (1) relating mathematical knowledge to other knowledge; (2) checking for self-consistency; and (3) putting thinking before facts. The second part is on how to teach based on…
Descriptors: College Mathematics, Concept Formation, Concept Teaching, Higher Education
Peer reviewedClement, John; Konold, Clifford – For the Learning of Mathematics, 1989
Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)
Descriptors: College Mathematics, Higher Education, Mathematics Instruction, Mathematics Skills
Clement, John; Konold, Clifford – 1989
Teaching students to think mathematically or to apply mathematics to the solution of real-world problems has become a national priority. This paper explores a method of developing the basic problem-solving skills in a remedial mathematics course at the college freshman level. The first part of this paper describes some basic problem-solving skills…
Descriptors: College Mathematics, Higher Education, Mathematical Applications, Mathematical Enrichment
