In Spring 2020, the need for redesigning online assessments to preserve integrity became a priority to many educators. Many of us found methods to proctor examinations using Zoom and proctoring software. Such examinations pose their own issues. To reduce the technical difficulties and cost, many Zoom proctored examination sessions were shortened;…

The onset of COVID-19, along with its various mutations, has played havoc with many activities, not the least of which is education. For the majority of 2020 and 2021 in Australia, much of the teaching in both schools and universities was undertaken online, leading to a re-think of how learning and teaching might look in the future. This paper…

Concern about children's mathematics performance in Ireland and elsewhere has prompted a range of responses from researchers, policymakers, educators and the media. While policy-level responses in Ireland include revising curricula and implementing a numeracy strategy that calls for increased tuition hours, teachers have also drawn on a wide array…

The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary…

On the surface, this chapter concerns the evolution of educational assessment from a paper-based technology to an electronic one. On a deeper level, that evolution is more substantive. In the first section of this chapter, those stages are briefly described and used to place the new generation of assessments being created by the two comprehensive…

E-learning will be gradually introduced to all schools and to all specialties including math lessons. Mathematics courses have increased flexibility and can be accessed from anywhere , anytime via computer linked to internt and web technologies. Characteristics of e-learning in mathematics are : efficiency, immediate, large viewing opportunities ,…

The 2011 study, "Benefits of Practicing 4 = 2 + 2: Nontraditional Problem Formats Facilitate Children's Understanding of Mathematical Equivalence," examined the effects of addition practice using nontraditional problem formats on students' understanding of mathematical equivalence. In nontraditional problem formats, operations appear on…

In 2010-11, Wake County Public School System (WCPSS), North Carolina Department of Public Instruction (NCDPI), and SMART Technologies began a two-year collaboration to promote the use of formative assessment in mathematics classrooms at three Wake County public schools: Millbrook Elementary, East Millbrook Middle, and Millbrook High school. The…

This article presents the results of a study focused on the issue of how proctored testing affects student test scores in a formal Intermediate Algebra course setting. The study follows a model of assessment in which students in one group have taken two of their five unit exams as proctored tests along with a proctored comprehensive final exam,…

An online interactive geometry item was developed to explore students' abilities to create prototypical and "tilted" rectangles out of line segments. The item was administered to 1,002 students. The responses to the item were hand-coded as correct, incorrect, or incorrect with possible evidence of a misconception. A variation of the nearest…

Web-based homework (WBH) systems are being utilized in many college mathematics classrooms. Do these systems have an effect on student outcomes when compared to traditional paper-and-pencil homework (PPH)? This study compares student outcomes in multiple sections of a required mathematics course. The sections differed only in the homework delivery…

The purpose of this randomized experiment was to compare the performance of high-, average-, and low-achieving middle school students who were assessed with parallel versions of a computer-based test (CBT) or a paper-pencil test (PPT). Tests delivered in interactive, immersive environments like the CBT may have the advantage of providing teachers…

While a number of studies have been conducted on the impact of online assessment and teaching methods on student learning, the field does not seem settled around the promised benefits of such approaches. It is argued that the reason for this state of affairs is that few studies have been able to control for a number of confounding factors in…

An increasing number of K-12 school teachers have been using handheld, or palmtop, computers in the classroom as an integral means of facilitating education due to the flexibility, mobility, interactive learning capability, and comparatively inexpensive cost. This study involved two experiments in handheld computers: (a) a comparison of the…

This study compared the impact of proctoring on the final course grades of community college students enrolled in distance education mathematics courses. The goal was to determine whether distance education students who are evaluated entirely online, in environments that are not proctored, receive grades that differ from distance education…