The design of the Cognitive Tutor Algebra I (CTA1) intelligent tutoring system assumes that students work through sections of material following a pre-specified order, and only move on from one section to the next after mastering the first section's skills. However, the software gives teachers the flexibility to override that structure, by…

In the context of a generic harmonic oscillator, we investigated students' accuracy in determining the period, frequency, and angular frequency from mathematical and graphical representations. In a series of studies including interviews, free response tests, and multiple-choice tests developed in an iterative process, we assessed students in both…

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 growth of the higher education population and different school paths to access an academic degree has increased the heterogeneity of students inside the classroom. Consequently, the effectiveness of traditional teaching methods has reduced. This paper describes the design, development, implementation and evaluation of a tutoring system (TS) to…

Background: This study investigated learning outcomes and user perceptions from interactions with a hybrid intelligent tutoring system created by combining the AutoTutor conversational tutoring system with the Assessment and Learning in Knowledge Spaces (ALEKS) adaptive learning system for mathematics. This hybrid intelligent tutoring system (ITS)…

This study explores relations between students' perceptions of the classroom goal structures, their personal goal orientations, mathematics anxiety, and help-seeking behavior in mathematics classes. The respondents were 309 Norwegian middle school students. The data were analyzed by means of structural equation modeling (SEM). The analyses…

Many developmental mathematics programs at community colleges in recent years have undergone a process of redesign in an attempt increase the historical poor rate of student successful completion of required developmental coursework. Various curriculum and instructional design models that incorporate methods of avoiding and accelerating the…

Computational fluency is an important aspect of math proficiency. Despite widely held beliefs about the differential difficulty of single-digit multiplication math facts, little empirical work has examined this issue. The current study analyzed the number of repetitions needed to master multiplication math facts. Data from 15,402 3rd, 4th, and 5th…

This paper describes a multistep Enhanced Formative Assessment Program (EFAP) that features a Self-Regulated Learning (SRL) component. The program, which teaches students to become more effective learners, has been applied in a wide range of academic disciplines. In this paper we report on how the EFAP-SRL model can be applied to the area of…

This study examined Programmed Instruction (PI) a panacea to students' dwindling interest in mathematics. Descriptive research of survey design was adopted for the study. A questionnaire was designed to collect data from a sample of seven hundred and fifty (750) respondents which include 700 Students and 50 Teachers from Public and Private…

Most of the research on motivation in education often uses measures taken outside the context of students' actual learning activities. This paper, however, maintains that students' motivation and learning are situated. Using a diary technique, this study explored how a class of high-achieving students in an Australian state high school (N = 34)…

The purpose of this study was to explore the effectiveness of using ALEKS (Assessment and Learning in Knowledge Spaces [3]), an online interactive learning system, in teaching a college algebra course at a university. This system was used to replace traditional assignments. The study was conducted in eight college algebra courses in the Fall 2003…

Eighth grade students, randomly assigned to three criterion performance levels, studied matrix algebra in three programed lessons. Student achievement, ability, time spent, and other measures were obtained; and minimal variance criterion performance levels, analogous to production isoquants, were attained. A Cobb-Douglas (log-linear) function was…