Teacher Tasks for Mathematical Insight and Reorganization of What it Means to Learn Mathematics

The mathematics-for-teachers tasks we discuss in this chapter have two qualities: (1) they offer teachers opportunities to experience the pleasure of mathematical insight; and (2) they aim to disrupt and reorganize teachers\u27 views of what it means to do and learn mathematics. Given that many future and inservice elementary teachers fear and dislike mathematics, it is perhaps not too far-fetched to suggest that there is a need for “math therapy.” We believe that a form of mathematics therapy may involve new and different experiences with mathematics. Such experiences, considered broadly to include questions or prompts for mathematical exploration, draw attention to deep mathematical ideas and offer the potential of experiencing the pleasure of significant mathematical insight. In our work with teachers we have developed and used a variety of mathematics tasks as opportunities for experiential therapy. The tasks aim to challenge some of the mathematical myths that future teachers believe to be true and are typically assumed by them in mathematics classrooms. The tasks have potential to disrupt teachers\u27 view of mathematics, and to start the process for reorganizing their thinking about what mathematics is and what it means to do and learn mathematics. In this chapter we describe and discuss four of the mathematics tasks which involve non-routine mathematics problems that we use in our mathematics-for-teachers program. This program is offered annually to our 440 future elementary school (K-8) teachers, who generally lack confidence in mathematics and often fear and/or dislike the subject. It is also offered to inservice teachers through a series of mathematics-for-teachers courses. A student response summarizes the effects of our approach

Business Not as Usual: Developing Socially Conscious Entrepreneurs and Intrapreneurs

Our objective was to design an introductory business course to shape the mind-sets and skill sets of the next generation of socially conscious practitioners—to help students develop a sense of self-efficacy built on the confidence that they can make a positive impact on the world using entrepreneurial thinking and action. Essentially, the focus was to develop an introductory business course that would encourage and enable students to understand that business can be a force for good (sustainability and social impact) and to practice collaborative innovation (human-centered design thinking). The overarching design principle was business not as usual, which embraced four themes: (a) sustainability and social entrepreneurship, (b) collaborative innovation, (c) entrepreneurial thinking and action, and (d) self-authorship. We provide an overview of the course modules and their respective learning outcomes along with details of course content and activities to ensure transferability. A concluding discussion shares the impact on students and the challenges of success. We highlight how course design can be a catalyst to enable students to be the change they want to see in the world.Ye

The impact of an "equal opportunities" ideological framework on coaches’ knowledge and practice

This study focuses upon UK professional coaches’ experiences of equity training and the impact of the conceptualisation of equity as a matter of equal opportunities on this education and subsequent coaching practice. The research employs a critical feminist approach to connect the ideological framing of gender equity by sporting organisations to coaches’ ability to understand, identify and manage issues of gender equity, equality and diversity. The discussions are based on interviews with four coaches, Jack, Peter, Charlotte and Tony, who had all recently undertaken equity training, and all of whom represented sports and different stages of the coaching pathway. The data highlights that seeing gender equity through an “equal opportunities” lens results in a narrow conceptualisation of such issues by coaches, fails to challenge dominant and discriminative ideologies, and does not enable coaches to address equity within their practices. Consequently, coaches struggle to understand the importance of and manage such issues. The participants’ experiences reveal that gender relations, intersected principally with religion and ethnicity, underpinned their everyday coaching practices. The findings illustrate the need for sporting organisations to redefine how they approach equality and equity and for a more sophisticated sociocultural educational programme for coaches