Global education is a cross curricular discipline, originating in the 1970s and 1980s, developed for schools by international educators in the United Kingdom, Europe and North America. One definition describes it as "education which promotes the knowledge, attitudes and skills relevant to living responsibly in a multicultural, interdependent…

How do scientists make inferences for something they cannot directly observe? The Black Box approach seems ideal to help students understand how scientists work. Black Boxes are sealed units; their interior is not accessible. The effort to determine their possible content (internal structure) demands successive modifications in hypothesis,…

[superscript 31]P{[superscript 1]H} nuclear magnetic resonance spectroscopy is a particularly useful tool for studying the reactions of P-donor ligands such as phosphines and phosphites with transition metals and other Lewis bases because the reactions take place on the nonbonding pair of electrons on the phosphorus. In addition, [superscript 31]P…

Problem solving is recognized as a critical component to becoming a self-determined individual. The development of this skill should be fostered in the early years through the use of age-appropriate direct and embedded activities. However, many early childhood teachers may not be providing adequate instruction in this area. This column provides a…

In this paper, we highlight examples from school mathematics in which invariance did not receive the attention it deserves. We describe how problems related to invariance stimulated the interest of both teachers and students. In school mathematics, invariance is of particular relevance in teaching and learning geometry. When permitted change…

Estimation is such an important yet sometimes overlooked skill. Enhancing estimation skills through exposing students to enumeration ('how many') problems where they are required to estimate before calculating is a critical aspect of developing number sense (Reys et al., 2012). This article describes a 'how many' problem undertaken with a small…

This article describes how teachers can turn their class into a STEM exploration hub where students engage with real-life scientists, mathematicians, and engineers. Within this space, students have opportunities to connect "Next Generation Science Standards"-aligned learning targets with potential STEM career choices. Using the 7E…

Myths about early education abound. Many beliefs people hold about early math have a grain of truth in them, but as a whole are not true--they are largely myths. But the myths persist, and many harm children. In this article, we address ubiquitous math myths that may be negatively affecting many young students. We conclude that avoiding the myths…

Instructional collaborations between classroom teachers and school librarians often involve the "research project." These annual assignments (typically) are opportunities to put the inquiry process into practice and provide a rich context for learning. The National School Library Standards for Learners, School Librarians, and School…

A second-grade class visits Saint John's Food Pantry each year and spends the morning learning about the needs of the community. Then students pitch in and help the staff for a few hours. When the children return to school, they create signs advertising a canned food drive, and they place collection boxes at various locations around the school.…

Productive mathematical conversations are a significant component of developing students' mathematical understanding and ability to effectively communicate their thinking, and the types of questions teachers ask can either hinder or advance that development. Seeking to understand students' thinking while monitoring their initial work on a task…

This chapter describes the importance of self-determination for transitions and supports for adults with disabilities. Self-determination is defined and its application to the disability context examined, followed by an overview of a multicomponent model to engage adults with disabilities to self-regulate problem solving to set and attain life and…

What do nonroutine algebra problems look like for a second-year algebra course, and where can such problems be found? Starting from the belief that even challenging, nonroutine problems should be solvable with the resources that students possess, Benjamin Dickman proceeded to formulate a small collection of tasks to push students into integrating…

We propose that there exists mathematical knowledge for teaching (MKT) specific to visual representations (VRs), abbreviated MKT-VR. We define a VR as a graphic creation, such as a diagram or drawing, which illustrates quantities and shows quantitative relationships or which illustrates geometric properties of figures and shows geometric…

Advancement of self-regulation during complex problem solving and the development of strategical reasoning are among the central educational goals linked to 21st century skills. In this paper we introduce the notion of "Stepped Tasks", which are specially designed in Top-Down structure to achieve these goals in mathematics instruction.…