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…

An estimation tool for symmetric univariate nonlinear regression is presented. The method is based on introducing a nontrivial set of affine coordinates for diffeomorphisms of the real line. The main ingredient making the computations possible is the Connes-Moscovici Hopf algebra of these affine coordinates.

The geometric problem of finding the number of normals to the parabola y = x[squared] through a given point is equivalent to the algebraic problem of finding the number of distinct real roots of a cubic equation. Apollonius solved the former problem, and Cardano gave a solution to the latter. The two problems are bridged by Neil's (semi-cubical)…

The Algebra Project DR K-12, funded by the National Science Foundation as a Research and Development Project, addressed the challenge of offering significant STEM content for students to ensure public literacy and workforce readiness. The project's primary purpose was to test the feasibility and effectiveness of a model for establishing four-year…

This study compared the effectiveness, in terms of mathematical achievement and mathematics self-efficacy, of online homework to textbook homework over an entire semester for 145 students enrolled in multiple sections of college algebra at a large community college. A quasi-experimental, posttest design was used to analyze the effect on…

This paper examines the effect of content coverage on mathematics achievement and studies its relationship to eighth grade tracking. Previous analyses have shown tracking to be quite prevalent at eighth grade unlike much of the rest of the world. The U.S. practices both between- and within-school tracking, leading to very different content…

The questions guiding this research seek to discover the factors that affect high school math course completion and college readiness in a Texas suburban public school district. The first research question examines the relationship between 8th grade completion of Algebra I and high school mathematics course taking patterns and college readiness.…

Getting and keeping the attention of an eight-grade algebra class can often be a challenge. Doing so while trying to meet curriculum expectations and standards can be a daunting task unless projects are designed to both pique and maintain student curiosity. Projects designed around standards that initiate interest and have multiple entry points…

Expanded instructional time has become increasingly popular as a strategy to improve the academic outcomes of low-skilled students, particularly in the 9th grade. We evaluate the efficacy of a double-period algebra policy initiated in the Chicago Public Schools in 2003. This policy required all students with 8th-grade test scores below the…

Most high school mathematics teachers completed a mathematics history course in college, and many of them likely found it intriguing. Unfortunately, very few of them find the time to allow much, if any, mathematics history to trickle into their instruction. However, if mathematics history is taught effectively, students can see the connections…

The goal of this study was to develop and evaluate a structural model of the relations among cognitive abilities and arithmetic skills and college students' algebra achievement. The model of algebra achievement was compared to a model of performance on the Scholastic Assessment in Mathematics (SAT-M) to determine whether the pattern of relations…

This study examines the relationship between scheduling (3-, 2-, and 1-day-per-week classes) and achievement in college algebra. The study is grounded in spacing effect theory, which examines how variations in the frequency and timing of instruction affect student learning, and involves 116 Florida community college students. Regression analyses…

Introduction: Moved by our interest in the curricular proposal of integrating algebraic thinking in elementary mathematics, we analyse the understanding of number sentences of a group of elementary students and its evolution when working on solving open and true/false number sentences. Method: We developed a teaching experiment with a group of…

The I CAN Learn[R] Education System is an interactive, self-paced, mastery-based software system that includes the I CAN Learn[R] Fundamentals of Math (5th-6th grade math) curriculum, the I CAN Learn[R] Pre-Algebra curriculum, and the I CAN Learn[R] Algebra curriculum. College algebra credit is also available to students in participating schools…

In this study, the author examined the relationship of probability misconceptions to algebra, geometry, and rational number misconceptions and investigated the potential of probability instruction as an intervention to address misconceptions in all 4 content areas. Through a review of literature, 5 fundamental concepts were identified that, if…