The author of this article reflects on the issues of justice, democracy, and numeracy. As one who has taught statistics in a community college for over 12 years, spent 28 years as a Marketing Consultant, and holds a PhD in political science, the author's thesis is that while an advanced, democratic society can only be just with a numerate…

A strong foundation in early number concepts is critical for students' future success in mathematics. Research suggests that visual representations, like a number line, support students' development of number sense by helping them create a mental representation of the order and magnitude of numbers. In addition, explicitly sequencing instruction…

The Price is Right Bidder's Row and games provide many opportunities for mathematical connections. The Price is Right website has videos or pictures for students to see how each game is played (http://www.priceisright.com/games/). This article will describe the mathematics of probability and statistics that is integrated in the famous television…

The long-standing debate into the potential benefit of developing mathematical thinking skills through learning to program has been reignited with the widespread introduction of programming in schools across many countries, including England where it is a statutory requirement for all pupils to be taught programming from 5 years old. Algorithm is…

Children see and describe patterns in the primary grades when they develop the meaning of numbers by composing and decomposing. During their early years, they use patterns to learn properties of operations (Common Core Standards Writing Team 2011). While describing the intent of the third-grade standards for multiplication, the CCSS writers…

Connecting theory and practice in teaching is sometimes difficult, as it requires expensive or delicate equipment, thus limiting the teacher to giving demonstrations in which students are passive participants. Numerical mathematics, as an applied discipline, should be taught on real world examples. By using inexpensive Arduino hardware, we can…

One of the biggest challenges for primary school children is moving beyond the use of counting in calculation. The purpose of this study was to investigate how Zambian Grade 1 to Grade 4 children at primary school see a group of 10 as an effective pattern and structure with the given concrete material. The study consisted of three phases…

Computational thinking (CT) has become a necessary skill of students in the 21st century. Various learning approaches have been developed to foster CT among school students. However, these approaches predominantly rely on computer devices and internet connection and fail to promote advanced computer concepts necessary for programming. Therefore,…

Researchers and educators have advocated computational thinking (CT) should be integrated into K-12 settings as early as elementary schools. However, there has been a lack of knowledge of how pre-service K-8 teachers would be engaged in the learning of CT and its integration in different subject areas. In this study, we taught a flipped learning…

This paper reports pedagogical experiences and educational techniques in the field of Mechanics of Structures (Mechanical Engineering degree), resorting to computational tools. Several aspects are addressed, covering CAD (Computer-Aided Design) modelling systems to CAE (Computer-Aided Engineering) solutions, in terms of analysis and validation of…

This book presents 28 practical case studies in detail and 49 case studies in brief. The collection of these case studies focuses on one or more aspects of exploration and practice on the following topics: smart campus and smart classroom, resource construction and sharing, new teaching mode, comprehensive quality evaluation of students, teacher…

Multiple initiatives contend that all students should master computational thinking, including the "Next Generation Science Standards, the K-12 Framework for Computational Thinking," and Code.org. In turn, many physics teachers have begun to explore a variety of approaches to integrating computational modeling through programming. These…

The use of computer simulations in the teaching of introductory statistics can help undergraduate students understand difficult or abstract statistics concepts. The free software environment R is a good candidate for computer simulations since it allows users to add additional functionality by defining new functions. In this paper, we illustrate…

Integrating the disciplines of mathematics and science is one way to place the calculations of volume and surface area into a real life context. The authors present an activity for middle-school students that aims to promote their learning of these key concepts in a personally meaningful way, whilst also developing inquiry and problem solving…

This article reflects critically on the guidance offered to South African teachers in two canonical texts: the Curriculum and Assessment Policy Statements (CAPS) and Mathematics teaching and learning framework for South Africa: Teaching mathematics for understanding (TMU). I make explicit my philosophical orientation, and how 'teaching mathematics…