Playing board games is known to improve pre-school student numeracy and many board games are used to motivate and explore concepts in probability. This study investigates whether college students in liberal arts mathematics courses assigned to play the board game "Settlers of Catan" develop a stronger grasp of basic probability concepts…

With the advent of information technology, various online homework systems have often been utilized to enhance students' knowledge and skills. Several studies analyzed the effects of web-based homework systems on students' learning through comparing them with paper-pencil homework. However, few studies explored students' homework completion…

Calculus is an essential intellectual gateway and initiation in the education of science, technology, engineering, and mathematics (STEM) students. In this study, graded online computer homework was compared with graded handwritten homework in second-semester calculus for STEM students. Previous calculus studies excluded STEM students or compared…

Online software systems are extensively used to give students practice on course content, especially in mathematics and physics courses. They offer instant feedback, and several of these systems are open source or very economical compared with hiring graders for traditional paper-and-pencil-based homework (PPH). In this article, the authors…

This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…

In this paper, I present a homework system that supports a flipped classroom environment using only a textbook for students' first contact with the material. Motivated by David Pengelley's homework system, each unit of material has four key components: Core Assignments, Conceptual Assignments, In-class Worksheets, and Follow-up Assignments. The…

As teachers of mathematics we encourage our students to ask good questions, and we strive to help our students find and understand answers to these questions. This journey can be made more meaningful if students conclude by reflecting on their learning process. If we find careful questioning and reflection important, we should include such…

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

At Florida Polytechnic University, a STEM University founded in 2014, Calculus I is the first mathematics course required by students in every major. In order to ensure students received the support necessary for Calculus I, an online Primer course was developed. The course, which is housed in the online platform CANVAS, targets specific topics…

The flipped classroom model interchanges the roles of in-class and out-of-class time to allow students more time to engage with cognitively demanding tasks when expert help from their instructor is more available. An extensive body of literature supports the effectiveness of this model. In contrast, I present a case study of a less-successful…

The use of web-based homework management systems has been on the rise for the past few years. These systems provide digital alternatives to the traditional paper-and-pencil assignments. The current study aimed at investigating student perceptions of the impact of the use of web-based homework systems on students' active learning in mathematics.…

Many studies have argued the negative effects of external rewards on internal motivation while others assert that external motivation does not necessarily undermine intrinsic motivation. At a private university, students were given the option to earn bonus points for achieving mastery in the online homework systems associated with Statistics and…

The purpose of this study was to assess the effect of flipping the classroom on final exam scores in a terminal general education college mathematics course for a diverse student population. We employed a quasiexperimental design. Seven instructors collectively taught 13 sections of each pedagogy (flipped/traditional). Six hundred thirty-two…

Problem-solving is regarded as a major component of mathematical performance, and well-designed problem-solving-based learning environments have the potential to assist students in developing a meaningful understanding of mathematical concepts and procedures. In this respect, given its various features, dynamic mathematics software has been…

This in practice paper describes the experience of seven lecturers in a hybrid and flipped version of an introductory mathematics course for higher education. In a Mexican university, lecturers adapted to this innovation supported by an adjusted Massive Open Online Course. The experience revealed the relevance of leaving conventional assessment…