There has been a growing number of calls to improve theory instruction in sociology. These conversations have focused on what instructors should teach (with a renewed emphasis on racism and sexism) and whom to teach (with calls to diversify the reading list), but comparatively little attention has been placed on how social theory should be taught.…

The process of prime factor splicing to generate home primes raises opportunity for conjecture and exploration. The notion of "home primes" is relatively new in the chronicle of mathematics. Heleen (1996-97) first described a procedure called "prime factor splicing" (PFS). The exploration of home primes is interesting and…

The floor function maps a real number to the largest previous integer. More precisely, floor(x)=[x] is the largest integer not greater than x. The square bracket notation [x] for the floor function was introduced by Gauss in his third proof of quadratic reciprocity in 1808. The floor function is also called the greatest integer or entier (French…

Children's conceptual knowledge of writing words and numbers is an important aspect of their cognitive development. Children use notations as representations that have a communicative value and begin to learn about formal differences between writing words and writing numbers at an early age before the onset of formal schooling. The aim of the…

This study developed and empirically tested a theoretical model to predict the factors affecting students' acceptance and behavioral intentions toward using mobile learning (m-learning) in United Arab Emirates (UAE). The present study explored the behavioral intention to use m-learning from the angle of consumers by applying the extended Unified…

Mobile technology promises to enhance and better support students' learning. The exploration and adoption of appropriate pedagogies that enhance learning is crucial for the wider adoption of mobile learning. An increasing number of studies have started to address how existing learning theory can be used to underpin and better frame mobile learning…

How does linguistic structure affect children's developing cardinal number knowledge? The bootstrapping theory proposes that children might use syntactic information provided by known words such as quantifiers to bootstrap the meanings of unfamiliar words such as number words. Prior studies of numeral and quantifier development have indicated that…

Recent educational studies in mathematics seek to justify a thesis that there is a conflict between students' intuitions regarding infinity and the standard theory of infinite numbers. On the contrary, we argue that students' intuitions do not match but to Cantor's theory, not to any theory of infinity. To this end, we sketch ways of measuring…

To implement current reforms regarding proof and reasoning in secondary school mathematics successfully, pre-service secondary mathematics teachers must have adequate understandings of concepts across mathematical domains for their future teaching. This paper examined the strategies that pre-service secondary mathematics teachers had for…

Teaching language with effective theories, directions and ways of instructing is a vital topic in the current fields of teaching and learning. Locating the most appropriate and effective teaching and learning methodologies and strategies for a given situation is important for language learning classrooms. Over the years, many theories have been…

In this article, we discuss how to use a diagrammatic approach to solve the classic sailors and the coconuts problem. It provides us an insight on how to tackle this type of problem in a novel and intuitive way. This problem-solving approach will be found useful to mathematics teachers or lecturers involved in teaching elementary number theory,…

This paper deals with a brief history of probability theory and its applications to Jacob Bernoulli's famous law of large numbers and theory of errors in observations or measurements. Included are the major contributions of Jacob Bernoulli and Laplace. It is written to pay the tricentennial tribute to Jacob Bernoulli, since the year 2013…

The purpose of this study is to examine a neural network based approach to predict achievement in graduate education for Elementary Mathematics prospective teachers. With the help of this study, it can be possible to make an effective prediction regarding the students' achievement in graduate education with Artificial Neural Networks (ANN). Two…

Validating proofs and counterexamples across content domains is considered vital practices for undergraduate students to advance their mathematical reasoning and knowledge. To date, not enough is known about the ways mathematics majors determine the validity of arguments in the domains of algebra, analysis, geometry, and number theory--the domains…

Although proof comprehension is fundamental in advanced undergraduate mathematics courses, there has been limited research on what it means to understand a mathematical proof at this level and how such understanding can be assessed. In this paper, we address these issues by presenting a multidimensional model for assessing proof comprehension in…