Groups that created more correct ideas (correct contributions or CCs) might be more likely to solve a problem, and students' recent actions (micro-time context) might aid CC creation. 80 high school students worked in groups of 4 on an algebra problem. Groups with higher mathematics grades or more CCs were more likely to solve the problem. Dynamic…

In algebra and precalculus courses, students are often asked to find extreme values of polynomial functions in the context of solving an applied problem; but without the notion of derivative, something is lost. Either the functions are reduced to quadratics, since students know the formula for the vertex of a parabola, or solutions are…

It is important for teacher educators to understand new alternative certification middle and high school teachers' mathematical problem solving abilities and perceptions. Teachers in an alternative certification program in New York were enrolled in a proof-based algebra course. At the beginning and end of a semester participants were given a…

This study explores the differences between traditional and alternate route certification by focusing on the achievement of students who have been instructed by teachers from each program. In addition, this study identifies the strengths and weaknesses of teachers from each certification route through surveys and interviews with principals in the…

We conducted an evaluation study of the Middle School Algebra Readiness Initiative, a middle school mathematics intervention that was implemented in two West Virginia school districts during the 2011-2012 school year. In participating middle schools, the Carnegie Learning MATHia® software intervention and accompanying classroom curriculum were…

In 2010, homeschooling was increasing in prevalence in the United States. Yet, little was known about the academic achievement of these students as they matriculated into colleges and universities. The purpose of this mixed methods sequential explanatory study was to examine the academic success achieved by the homeschooled population (N = 273)…

Visit with any university math faculty member throughout the United States, and you will soon hear how the freshman students are not prepared to be successful in introductory college algebra classes. The opinions are varied regarding why the students are unsuccessful; however, the concern and frustration is universal. According to American College…

Fifty percent of college-bound students graduate from high school underprepared for mathematics at the post-secondary level. As a result, thirty-five percent of college students take developmental mathematics courses. What is even more shocking is the high failure rate (ranging from 35 to 42 percent) of students enrolled in developmental…

Reform in mathematics instruction at the college level has been slow to arrive (Dossey, Halvorson, & McCrone, 2008), and many institutions of higher learning still follow the calculus model, while fewer and fewer students need calculus for their chosen areas of study (Ganter & Barker, 2003). Instead, mathematics that is applicable and transferable…

Only recently have school districts across the nation begun to offer Algebra I to all eighth grade students. Currently, most eighth grade Algebra I curriculum does not have a national consistent focus of topics or level of rigor. A key issue of implementing Algebra I in eighth grade is defining national Algebra I concepts and skills that students…

Intelligent Tutoring Systems (ITSs) that adapt to an individual student's needs have shown significant improvement in achievement over non-adaptive instruction (Murray 1999). This improvement occurs due to the individualized instruction and feedback that an ITS provides. In order to achieve the benefits that ITSs provide, we must find a way to…

In this study, the authors wanted to examine whether success on items testing basic equivalence knowledge, such as the meaning of the equal sign and ability to solve problems such as 3 + 5 = 4 + _, predicted success on items testing more advanced algebraic thinking (i.e. principles of equality and solving equations that use letter variables). This…

How can schools respond to the call to equip all students with the math skills required in college and the workforce when students are working at widely varying skill levels? Offering extended instructional time in algebra, or double-dose instruction, offers one potential solution to this dilemma and has become an increasingly popular approach for…

The No Child Left Behind Act of 2001 requires states to test students in reading and math and identify them as below proficient, proficient, or advanced. Schools are held accountable only for ensuring that students test proficient or better (both considered passing), leading to concerns that a focus on increasing the percentage of students testing…

Textbooks, like many other resources teachers have at hand, are meant to be an aid for instruction; however there is little research with textbooks or on their potential to develop metacognitive knowledge. Metacognitive knowledge has received substantial attention in the literature, in particular for its relationship with problem-solving in…