ERIC Number: ED211479
Record Type: Non-Journal
Publication Date: 1981
Reference Count: N/A
Mathematics. Essay on Teaching Able Students.
Brown, Richard G.
A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens are provided, but no specific proof is required. Students prove whatever they are able to from the givens. This device of not telling students what is to be proved helps build skills in inductive conjecturing as well as skills in deductive reasoning. Students then acquire, through their own work, the skills of anticipating and discovering mathematical theories and skills that teachers are often tempted to tell them. Students should be exposed to the personal, inventive aspect of learning mathematics. It can be argued that, for most students, the process of arriving at formulas and theorems through experimenting, guessing, and deducing is at least as important as the formulas and theorems themselves. (JD)
Descriptors: Abstract Reasoning, Academically Gifted, Algebra, Concept Formation, Deduction, Discovery Learning, Geometry, Logical Thinking, Mathematical Logic, Mathematics Instruction, Secondary Education, Secondary School Mathematics, Teaching Methods
Not available separately; see SP 019 253.
Publication Type: Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A