This study sought to investigate university mathematics teachers' perceptions on their general pedagogical knowledge (GPK) while teaching an applied mathematics course tailored for pre-engineering students at a public university in Ethiopia. Using a case study approach, data were collected through a Likert-scale questionnaire and semi-structured…

Annually, 40% to 60% of students who graduate high school and enroll in higher education do not exhibit the skills necessary to succeed in college-level work and will need remediation in mathematics or English (Jimenez et al., 2016). Successfully graduating from high school does not guarantee academic preparedness for college. To understand why a…

To address a deteriorating classroom climate at the midpoint of a two-semester course sequence, we employed a novel intervention: reading a research manuscript together with students as an invitation to legitimate peripheral participation in scholarly reflection on teaching and learning. This intervention resolved many student complaints about the…

Pursuant to HB 3399, the Oklahoma State Regents for Higher Education (OSRHE) conducted a review for college- and career-readiness of the English Language Arts (ELA) and Mathematics Priority Academic Student Skills (PASS) standards. Two committees -- consisting of faculty subject-matter experts from State System colleges and universities -- were…

A formal approach to the differentiation of vectors from an axiomatic point of view is introduced, and applications to dynamics are presented. (DT)

Three proofs for the problem show there exist irrational numbers a and b such that a to the b power is rational'' are presented and discussed. (DT)

A method of helping students attack the components of mathematics as a language is discussed; examples from arithmetic and from calculus are illustrated. (DT)

Notation and definition of the derivative function are discussed. (DT)

This unit provides some activities designed to familiarize the reader with the TI-59 and instructions on creating a library of programs on magnetic cards. (MP)

An axiomatic development of the derivative and the antiderivative is presented. (DT)