Ensure all learners have opportunities to engage deeply in meaningful intellectual work. In "Ambitious Instruction," author Brad Cawn offers a blueprint for how to make rigor visible, accessible, and actionable in grade 6-12 classrooms. The resource guides readers toward using the twin tenets of problem-based learning and synthesis to…

Some unconventional word problems containing excessive, inconsistent, or inadequate data and their possible limitations and benefits in a mathematics classroom are discussed. (JT)

Discusses student difficulties in understanding the concept of chemical equilibrium. (SL)

Suggests that students could easily apply knowledge and skills acquired in biology instruction to other disciplines if that instruction had been integrated with other disciplines. (LS)

After arguing that secondary students are often inept at solving word problems, and that this may be caused by their disinterest in the problems typically presented, the author presents eleven problems she considers to be more relevant to student interests. (SD)

This study was designed to compare the relative effectiveness of word problem instruction based on Polya's approach to problem solving with Dahmus' word by word translation approach. When ninth-grade students were randomly assigned to one of these approaches, no differences in mean number of problems solved were observed. (SD)

The message of this article is that there are many types of problems ordinarily requiring advanced techniques or special insight to solve which can now be done as simple programming exercises on inexpensive programmable calculators. Several examples appropriate for the secondary school curriculum are given. These are: (1) evaluating polynomials;…

A problem from number theory is used to illustrate the use of the computer and programable calculators in solving problems. Programs are included. (MP)

Student errors led to this exploration of the conditions under which log of x base a = x. The discussion requires only techniques contained in a first-year calculus course. (MP)

Discussed is the problem of finding the volume common to two intersecting right circular cylinders. (MP)

Two units are developed that provide the student with experience in constructing auxilary lines that are often needed in formulating geometric proofs. (MP)

A programed unit on triangle constructions using an information processing prescriptive model was compared to a traditional model. The experimental group scored significantly higher on a retention test. (MP)

A technique is given for solving problems involving a balance scale and a number of coins which are to be sorted in a certain number of weighings. (MP)

Methods are suggested for encouraging high school students to write mathematics research papers. Sources for information are discussed, a general outline for the paper is given, grading procedures are described, and several topics for reports are listed. (DT)

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)