Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…

A challenge encountered when monitoring mathematics teaching and learning at high school is that taxonomies such as Bloom's, and variations of this work, are not entirely adequate for providing meaningful feedback to teachers beyond very general cognitive categories that are difficult to interpret. Challenges of this nature are also encountered in…

Democracy is a most accepted form of government system and has a great importance for citizens by allowing them equal and active participation in common life. As its development and characteristics are important for all citizens of a country, each democratic country puts much emphasis on democracy education in its educational curricula. In recent…

Over the last four years of the senior capstone seminar at Western Carolina University, we have redesigned the course substantially to comply with our institutional Quality Enhancement Plan for engaged student learning and to follow the guidelines proposed by the Mathematical Association of America's Committee on Undergraduate Programs in…

Ambitious teaching is a form of teaching that requires a high level of teacher responsiveness to what students do as they actively engage with the subject matter. Thus, a teacher enacting ambitious teaching is often confronted with uncertainties about how to advance students' learning while also building on students' contributions. In…

Have your students ever wondered what NASA scientists do? Have they asked you what their science and mathematics lessons have to do with the real world? This unit about Earth's atmosphere can help to answer both of those questions. The unit described here showcases "content specific integration" of science and mathematics in that the lessons meet…

Helping students set up equations is one of the major goals of teaching a course in physics that contains elements of problem solving. Students must take the stories we present, interpret them, and turn them into physics; from there, they must turn that physical, idealized story into mathematics. How they do so and what problems lie along the way…

The purpose of this study was to determine the changes in the mathematics curriculum for grades 5-8 in the Republic of Serbia after the break-up of SFRY. In particular, the research sought to identify the changes in the mathematics curriculum in terms of curriculum content and learning objectives, textbooks, and high school entrance examination…

This study examined the impact of teachers' characteristics and self-reported practices on students' Algebra achievement while controlling for students' characteristics. This study is based on the secondary analysis of data collected from a nationally representative sample of 9 th grade students and their mathematics teachers during…

This document was designed to help teachers and other school district personnel plan and teach Algebra I and Algebra II in the junior high and high schools. An overview of the Algebra I and Algebra II courses presents the philosophy of algebra instruction for Texas schools, the expected use of technology in mathematics instruction, teacher…

Describes the experiences of a secondary mathematics education student as a MATHCOUNTS coach for sixth graders. Explains the program, coaching duties, and how the approach evolved in trying to shift student focus from finding the right answer to finding a logical approach to solving problems. Discusses the experience in terms of the National…

A mathematical preview program in physics was developed at the Arkansas School for Mathematics and Sciences to introduce students to mathematical concepts, then use these as tools in physics while concurrently studying them in mathematics. The topics and time frame for the mathematical preview in calculus-based physics courses is presented, along…

During the 1989-90 school year, the Barrett Math Program was piloted in selected sections of grades K-7 in five Atlanta (Georgia) Public Schools (APS) elementary schools. The Barrett Math Program is designed to improve the total mathematical skills of elementary school students, including computation, concepts, and problem solving, as measured by…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eleventh-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

THIS GUIDE EXPLAINS HOW A COMPUTER MIGHT BE USED IN MATHEMATICS EDUCATION IN CONJUNCTION WITH THE REGULAR COURSE OF STUDY. STARTING WITH THE PREMISE THAT A CHILD WHO LEARNS TO OPERATE A COMPUTER IS LED BY HIS NEW SELF ESTEEM TOWARD A GREATER INTEREST IN HIS COURSES, THE AUTHORS STATE THAT COMPUTER EDUCATION WILL ALSO MEET THESE OBJECTIVES--(1)…