In this paper, we will focus on an innovative way to teach some of the engineering fundamentals at the freshman level in an introductory engineering class. Unfortunately, today many students graduate without a good grasp of these fundamental concepts--concepts that every engineer, regardless of his or her area of specialization, should know. In…

This article describes a multisensory method for teaching students how to multiply and divide as well as add and subtract integers. The author uses sidewalk chalk and the underlying concept of integers to physically and mentally engage students in understanding the concepts of integers, making connections, and developing computational fluency.…

This article describes a mathematics lesson taught by a 5th grade teacher who engages her class in an in-depth examination of one student's incorrect solution to a problem. Because the teacher consistently asks her students to devise alternative calculation strategies and explain how those strategies work, the students have come to expect that…

Consider test data, a specified set of dichotomous skills measured by the test, and an IRT cognitive diagnosis model (ICDM). Statistical estimation of the data set using the ICDM can provide examinee estimates of mastery for these skills, referred to generally as attributes. With such detailed information about each examinee, future instruction…

This article evaluates online mathematical content used for teaching mathematics in engineering classes and in distance education for teacher training students. In the EU projects Xmath and dMath online computer algebra modules (Steplets) for undergraduate students assembled in the Xmath eBook have been designed. Two questionnaires, a compulsory…

This article is intended to provide adult basic education teachers with examples of functional learning activities for their students through use of the newspaper. It lists activities which are illustrations of those that can be used to teach functional skills in the key areas of reading and computation. For reading, suggested activities include…

The study examined the effectiveness of a tutoring program on counting and number skills for trainable mentally retarded (TMR) and educable mentally retarded (EMR) students (5-14 years old). Experimental Ss received individualized instruction based on counting games while control Ss received instruction on objectives not related to counting.…

A game is presented in which computation by a stepping-stone method is used to solve minimax problems. An additional application of this game is used for finding the Pearson correlation coefficient by non-parametric techniques. The game provides considerable computational practice as well as a motivational problem solving situation. (JP)

These worksheets represent gameboards designed to provide practice in estimation using a calculator. Worksheets are presented for estimation in addition, sums and differences, products, and quotients. (MP)

Procedures using calculators are described for determining the recurring sequence of digits in the decimal representation of numbers of the form 1/n. (MN)

The use of demonstration plus permanent model (DPM) as a teaching strategy was evaluated with 19 learning disabled students (ages 9-14) in the area of computational skills. Results indicated that DPM effectively helped students acquire computational skills across instructional sequences for addition, subtraction, and multiplication. (Author/DB)

The effectiveness of a modeling technique on the acquisition of long division was demonstrated with eight middle school learning-disabled students. The intervention included demonstration, imitation, and key guide words. (Author/DB)

Activities with number cards can provide a wide variety of exploratory experience. Sequences, addition, subtraction, counting and change, and arrays with number cards are discussed. (MNS)

Estimation of measurements is discussed, with a definition, rationale, strategies, teaching suggestions, and several references. (MNS)

The focus is on multi-step problems, with suggestions on helping students understand the mathematical relations, decide which computational procedures to use, and identify the sequence in which computations should be performed. An activity to aid understanding of variables is also included. (MNS)