Mathematics Education in the Digital Era
Volume 1 / 2013 to Volume 23 / 2023
Book Series
Volume 1 / 2013 to Volume 23 / 2023
Chapter
This Chapter begins with the question: What can you say about year 2021? Using this question, a discussion with students can lead to interesting investigations and discoveries about the properties of the numbe...
Chapter
This Chapter the authors argue that it is rare for the schoolchildren to get a taste on an unsolved mathematical problem. Among those explored in this chapter are the palindromic number conjecture and the 4, 2...
Chapter
This Chapter deals with decomposition of integers into two and three summands with restrictions is presented in the context of distributing legs among artificial creatures using trial and error. A spreadsheet ...
Chapter
This Chapter the idea about visual comparison of integers is applied to the visual comparison of fractions in the form of bar graphs constructed by a spreadsheet. The context of multicolored M&M candies is use...
Chapter
This Chapter deals with the context of exploration of fair division of pizzas that leads to interesting discussions and explorations. This chapter begins with information about the appearance of Egyptian fract...
Book
Paying Attention to Students’ Emerging Ideas in the Age of Technology
Chapter
This Chapter includes educational and psychological theories explaining the mechanism of collateral creativity in mathematics. It is shown that all the theories converge to the idea of collateral creativity as...
Chapter
This Chapter introduces a number sieve defined as a subsequence of natural numbers developed according to a certain rule. Basic examples of number sieves are presented. A spreadsheet is used as a modeling tool...
Chapter
This Chapter different informal approaches to deciding the primality of integers are introduced through the lens of developing collateral creativity using the year 2021 as an example. Several divisibility test...
Chapter
This chapter begins with the discussion of two major real-life contexts leading to the concept of fraction, as an extension of integer arithmetic, when the division of two integers does not results in an integ...
Chapter
At the simplest level, proportional reasoning, whether involving ratio or proportion, relies on the ability to use multiplicative thinking rather than additive thinking. In other words, instead of describing a...
Chapter
Counting is one of the most basic mathematical skills. Being procedural in nature, it gives birth to many concepts that form the foundation of mathematics. For example, knowing from counting experiments that d...
Chapter
This chapter deals with the recognition of visual and numeric patterns and their description through the language of functions which, in turn, form algebraic patterns to be recognized and generalized at a high...
Chapter
Teaching probability and statistical data analysis begins at the primary school level and continues through higher levels of mathematics education. At the middle school level, mathematics teaching standards re...
Chapter
This chapter aims to demonstrate the need for linkages between textbook content and the pedagogical ideas underpinning current standards for middle school mathematics instruction, to share recommendations for ...
Chapter
It has occasionally been argued that from a strictly developmental perspective young children are unable to utilize strategies common to plausible reasoning and formal logic. This is then taken as justificatio...
Chapter
Many students enter middle school viewing decimal and percent as independent and unrelated concepts rather than as being natural extensions of the standard base-ten system in use today. This commonly held perc...
Chapter
Until recently, it was common for instruction in geometry to be delayed until the secondary school course bearing its name. Continuing with historical precedent, geometry was viewed from a formal axioms and pr...
Chapter
This chapter begins by demonstrating how the basic ideas of algebra can be integrated into the curriculum at the early elementary level by teaching young children to use letters as descriptors of actions or ob...