I investigated the relationships between mathematics achievement on the Iowa Assessments and the mastery of four epistemic actions: selecting, analyzing, computing, and representing. These epistemic actions play a crucial role in characterizing mathematical reasoning and are essential for solving mathematics problems in the Iowa Assessments across…

This qualitative study explored private high school administrator and teacher perspectives on instructional strategies and rigor to improve Minnesota's college mathematic readiness. Data collection sources for the study included individual interviews, focus groups, and document review. The study produced four emergent themes from the data…

Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the…

The aim of this action research study is to determine how differentiated mathematics stations effect student learning. The research question that guided this study is as follows: How does the implementation of differentiated instruction using math stations impact individual student learning progression on the SLO posttest, unit pretest and post…

This case study highlights a high school math teacher's successful journey of taking the steps needed to move away from traditional teaching methods to innovative pedagogies supporting mastery-based teaching and learning. Mastery-based learning (also called competency-based learning) is a shift away from traditional, one-size-fits-all teaching.…

Research on non-cognitive factors has shown that persistence in the face of challenges plays an important role in learning. However, recent work on wheel-spinning, a type of unproductive persistence where students spend too much time struggling without achieving mastery of skills, show that not all persistence is uniformly beneficial for learning.…

The phenomenon of wheel spinning refers to students attempting to solve problems on a particular skill, but becoming stuck due to an inability to learn the skill. Past research has found that students who do not master a skill quickly tend not to master it at all. One question is why do students wheel spin? A plausible hypothesis is that students…

Research in Educational Data Mining could benefit from greater efforts to ensure that models yield reliable, valid, and interpretable parameter estimates. These efforts have especially been lacking for individualized student-parameter models. We collected two datasets from a sizable student population with excellent "depth" -- that is,…

Intelligent tutors have become increasingly accurate at detecting whether a student knows a skill, or knowledge component (KC), at a given time. However, current student models do not tell us exactly at which point a KC is learned. In this paper, we present a machine-learned model that assesses the probability that a student learned a KC at a…

The Utah System Approach to Individual Learning (U-SAIL) Mathematics System was developed to make it possible for teachers to provide excellence in arithmetic instruction. It is based on the premise that in order to teach arithmetic well, teachers must accurately assess, teach directly, provide students with focused practice, corrective feedback,…

This study is an annotated bibliography of literature dealing with the effects of teaching mathematics by mastery learning. It is subdivided into four areas: History and Development of Mastery Learning; Mastery Learning, an Alternative to Traditional Instruction; Implementation of Mastery Learning; and Studies of Mastery Learning in Mathematics.…

Study examined the ways 117 low-socioeconomic third graders interacted during acquisition of new mathematical skills. The effects of cooperative-mastery-learning (CML) strategies on their mathematics achievement were investigated. Two experiments indicated that students exposed to CML performed better than those given more traditional instruction.…