We analyze probability content within middle grades (6, 7, and 8) mathematics textbooks from a historical perspective. Two series, one popular and the other alternative, from four recent eras of mathematics education (New Math, Back to Basics, Problem Solving, and Standards) were analyzed using the Mathematical Tasks Framework (Stein, Smith, Henningsen, & Silver, 2000). Standards-era textbook s...

The purpose of the current research was to examine the effects of a sequence of classroom activities that integrated mathematics content with music elements aimed atproviding teachers an alternative approach for teaching mathematics. Two classes ofthird grade students (n=56) from an elementary school in the west coast of the United States participated in the research. A random assignment pretes...

Time series models of serially correlated variables yield biased fitted values and forecasts. Antithetic time series can be created so as to be negatively correlated with the original time series. The original and antithetic time series can be combined so as to eliminate said bias. A system of equations that define the optimal combining parameters is derived. 2010 Mathematics Subject Classifica...

Wedetermine the degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of a conjugate series of a Fourier series. 2000 Mathematics Subject Classification. 42B05, 42B08.

To illuminate the cross-national similarities and differences in ways of teaching multiplication of fractions and division of fractions, this study compared the lessons on fractions in Korean mathematics textbooks and accompanying teacher’s manuals with the corresponding lessons on fractions in one U.S. reform mathematics textbook series and accompanying teachers’ manuals [Everyday Mathematics]...

A new theorem on almost generalized Nörlund summability of conjugate series of Fourier series has been established under a very general condition. 2000 Mathematics Subject Classification. Primary 42B05, 42B08.

It cannot be overstated how significant Series Equations are to the fields of pure and applied mathematics respectively. The majority mathematical topics revolve around use series. Virtually, in every subject mathematics, series play an important role. solutions a major role solution mixed boundary value problems. Dual, triple, quadruple equations useful finding four part problems electrostatic...

The Annual Boole Lecture was established and is sponsored by the Boole Centre for Research in Informatics, the Cork Constraint Computation Centre, the Department of Computer Science, and the School of Mathematics, Applied Mathematics and Statistics at University College Cork. The series is named in honour of George Boole, the first professor of Mathematics at UCC, whose seminal work on logic in...

This paper contains material presented on 31 January 2002 to staff and students of the Department of Mathematics of the University of Utrecht. The talk was one in a series of lectures titled Basic Notions in Mathematics. The paper follows closely the talk, that consisted of six parts; basic definitions, a short survey of important results, some remarks in connection with the Maximum Clique Prob...