This syllabus presents a fused course in plane, solid, and coordinate geometry for secondary school students. Elementary set theory, logic, and the principles of separation provide unifying threads throughout this approach to geometry. There are actually two curriculum guides included; one for each of two different texts--Henderson, Pingry, and…

Presented is a general guide and syllabus for each of 14 secondary school mathematics courses offered by the Kent School District. Statements of the philosophy, organization, implementation, course sequences, requirements, guidance, and evaluation involved with the program are included. The courses for which a complete syllabus is offered include:…

The limitations of the ledger method in writing formal proofs are discussed. Details are given of a flow-proof method, with an attempt made to describe how to deal with most special situations involving the structuring of proofs. Nine examples of flow proofs in gemoetry are included. (DT)

The study sought to determine the relationship between problem solving ability and problem presentation stimuli of textbook (T), student generated (S), pictorial (P), textbook and pictorial (TP), and student generated and pictorial (SP). Ten problems for each stimulus were presented to ninth grade algebra students randomly assigned within IQ…

Pick's Theorem, a statement of the relationship between the area of a polygonal region on a lattice and its interior and boundary lattice points, is familiar to those whose students have participated in activities and discovery lessons using the geoboard. The proof presented, although rather long, is well within the grasp of the average geometry…

A common misconception, f(x+y) = f(x)+f(y), is used to prove theorems such as: 2=1; n=o for all positive integers n; and tan x=1 for all x. (MP)

An investigation is given of exceptions to the rule for adding fractions. The use of such exceptions in instruction is discussed. (MP)

An approach to teaching mathematical induction making use of the omega-rule of inference is discussed. (DT)

The central limit theorem is demonstrated in a simple, unsophisticated manner through three experiments. (JT)

A model, easily constructed by students, is used to assist in seeking basic Pythagorean identities used to prove more complex ones. (MNS)

Opportunity to Learn (OTL) is a composite variable investigated in an international study of achievement in mathematics. OTL was measured by the teachers' perception of their students' opportunity to learn the specific math concepts on the test used in the study. (RB)

Understanding rational numbers is often an elusive goal in mathematics. Presented is an approach for teaching rational numbers that has been used with many preservice and elementary school teachers. With some adaptation, the approach could be used with secondary school students. (RH)

Indirect methods of proof are taught with a chapter on symbolic logic. Examples and solutions for a number of proofs are presented. (MNS)

A different form of the quadratic formula is developed. (DT)

Three different methods for factoring a quadratic expression are given, then a case is made for the claim that the inspection method is the one which should be stressed. (DT)