Most people struggle to process information auditorily but this is often the way that it is taught. Presents a highly effective method for teaching multiplication that can be accessed at students' fingertips. (ASK)

Presents an activity on visualizing fingers for arithmetic, counting, and multiplication. (ASK)

A two-year project was conducted, mainly with two goals, to make the students fluent in addition and subtraction and to have the students develop an understanding of computation that was strong enough to solve more than routine problems. The most common method for teaching children computation is teaching the standard procedures and then giving…

This note discusses a possible method for teaching an example of problem solving to intermediate grade students. Under the guidance of the instructor, students may see the links between the 'guess' method and the arithmetic operation 'strings'. This may help enhance their logical thinking ability as well as arithmetic operation skills. For…

Much of the difficulty that students encounter in the transition from arithmetic to algebra stems from their early learning and understanding of arithmetic. Too often, students learn about the whole number system and the operations that govern that system as a set of procedures to solve addition, subtraction, multiplication, and division problems.…

Useful for small groups or one-on-one instruction, this book offers successful math interventions and response to intervention (RTI) connections. Teachers will learn to target math instruction to struggling students by: (1) Diagnosing weaknesses; (2) Providing specific, differentiated instruction; (3) Using formative assessments; (4) Offering…

In the article we compare the approaches of 3 in-service teachers and 3 student teachers when they tried to solve a verbal arithmetic problem in the classroom. Each interaction was studied using a System of Analysis that takes into account the cognitive processes involved in the solution of a mathematic problem and describes the interaction at…

Teachers must be prepared to recognize valid alternative representations of arithmetic problems. Challenging examples involving mixed fractions and division are presented along with teacher's discussion from a professional development workshop. (Contains 6 figures and 1 table.)

This article communicates findings from a year-long constructivist teaching experiment about the relationship between four sixth-grade students' multiplicative structures and their construction of improper fractions. Students' multiplicative structures are the units coordinations that they can take as given prior to activity--i.e., the units…

This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…

Presents a defense of traditional teaching methods during the progressive education movement. Reprint from April 1931 "Elementary School Journal." (JMB)

This textbook is a course in mental arithmetic that is essentially based on the object-lesson plan. It is believed that the pupil in the primary school can more readily acquire a familiarity with numbers from the use of objects and pictures than from an uninterrupted drill on the tables. It also includes suggestions for teachers how to use the…

This textbook aims to present the mathematical sciences in clear, everyday language for apprentices, students and mechanics--willing, industrious, anxious to study at home, yet unable to give time or money for professional teaching. It is trusted that this effort to place before English-speaking students a treatise on arithmetic and algebra, freed…