A student-suggested project at an elementary-level mathematics laboratory using an adding machine to print a million twos is presented and described. Questions, problems, and activities that took place as the project was carried out are described. The process of producing twos presented all children with the necessity of gauging time intervals and…

This course, offered in the Option Y sequence of the high school mathematics program described in the Department of Education's Mathematics Program Guide, is designed to be less theoretical and more applications oriented than Algebra IA and IB. There are ten learner objectives for this course, which is designed along with Core Algebra to fulfill…

This USMES unit challenges students to grow plants and determine some purpose for their use. The teacher resource book for the Growing Plants unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and of…

This USMES unit challenges students to recommend and try to have a change made which would improve the safety and convenience of a pedestrian crossing near the school. The teacher resource book for the Pedestrian Crossings unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real…

This USMES unit challenges students to find ways to improve or set up the Design Lab for the benefit of those who use it. The teacher resource book for the Design Lab Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the…

This USMES unit challenges students to recommend and try to have changes made which would improve the service in the lunchroom. The teacher resource book for the Lunch Lines unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the…

This USMES unit challenges students to determine which brand of a product is the best buy for a certain purpose. The teacher resource book for the Consumer Research - Product Testing unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature…

This USMES unit challenges students to find ways to make the classroom a better place. The teacher resource book for the Classroom Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and of classroom…

A two-part communication model for teaching elementary mathematics is proposed. Part I delineates symbols commonly used in teaching arithmetic. Parts of mathematical language (mathematical objects, relations, operations, expressions, and sentences) are compared to analogous parts of the English language. Part 2 is a conceptualization of strategies…

Methods of instruction and organization are discussed in the first chapter, including critiques of the Winnetka plan and the Dalton plan. The next author argues that algebra is a method of thinking and explains some mental processes involved. The following three chapters are concerned with the functional concept. Using function as a unifying…

Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

This study is about student teachers using questioning to explore the mathematical reasoning of secondary school students aged between 11 and 14 years of age. The student teachers involved were first year students following a four years' initial teaching training course in Malta. The Teaching Triad developed by Barbara Jarowski was used to analyze…

Recent research explaining the influence of teacher knowledge and beliefs on instruction tends to illustrate what teachers cannot do by describing their limited beliefs about mathematics or gaps in mathematics knowledge. Those studies illustrating what teachers can do tend to focus on one teacher. This paper describes what nine secondary level…

This research examines students' ability to work with algebraic variables and their notations as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic thinking to algebraic reasoning. It presents data from pre- and post-instruction clinical interviews…

Discussed is the use of a program called MathCAD which allows students to solve higher order polynomial equations and geometry problems. The use of cooperative learning is emphasized. Included are graphs and part of a printout generated while solving problems with MathCAD. (KR)