This resource explains the concepts of theoretical and analytical skills, as well as algorithmic skills, coupled with a basic mathematical intuition to successfully support the development of these skills in students and to provide math instructors with models for teaching problem-solving in algebra courses.

A Lacanian Conception of Populism takes issue with traditional theories of populism, which seek to equate populism with hegemony, arguing that these are not only different but even incompatible logics. Timothy Appleton contends that one of the main differences between populism and hegemony has to do with the social totality: while hegemony absolutises it, populism eviscerates it, setting in its place an (apparently paradoxical) dispersion of singular instances of ‘the people’. The book considers the work of Laclau, Badiou, Žižek and Rancière, before arriving at a novel conceptualisation that Appleton dubs ‘the populism of singularities’. In the second half of the book, the author draws out the consequences of this concept for contemporary political theory: the question of how to define ‘left’ and ‘right’; the question of popular enthusiasm and affect; ‘truth’ versus ‘post-truth’; the question of leadership; populism and nationalism; and the relation between populism and political parties. A Lacanian Conception of Populism will be key reading for academics and scholars of political theory, political philosophy, post-Marxist thought, discourse theory and psychoanalysis. It will also be of interest to those working in the areas of populism studies, cultural studies, gender studies and queer theory.

Math Education for America? analyzes math education policy through the social network of individuals and private and public organizations that influence it in the United States. The effort to standardize a national mathematics curriculum for public schools in the U.S. culminated in 2010 when over 40 states adopted the Common Core State Standards for Mathematics. Rather than looking at the text of specific policy documents, this book complements existing critical reviews of the national math education curriculum by employing a unique social network analysis. Breaking new ground in detailing and theorizing the politics of math education, Wolfmeyer argues that the private interests of this network are closely tied to a web of interrelated developments: human capital education policy, debates over traditional and reform pedagogy, the assumed content knowledge deficit of math teachers, and the proliferation of profit-driven educational businesses. By establishing the interconnectedness of these interests with the national math education curriculum, he shows how the purported goals of math education reform are aligned with the prevailing political agendas of this social network rather than the national interest.

A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.

Experimental research by social and cognitive psychologists has established that cooperative groups solve a wide range of problems better than individuals. Cooperative problem solving groups of scientific researchers, auditors, financial analysts, air crash investigators, and forensic art experts are increasingly important in our complex and interdependent society. This comprehensive textbook--the first of its kind in decades--presents important theories and experimental research about group problem solving. The book focuses on tasks that have demonstrably correct solutions within mathematical, logical, scientific, or verbal systems, including algebra problems, analogies, vocabulary, and logical reasoning problems. The book explores basic concepts in group problem solving, social combination models, group memory, group ability and world knowledge tasks, rule induction problems, letters-to-numbers problems, evidence for positive group-to-individual transfer, and social choice theory. The conclusion proposes ten generalizations that are supported by the theory and research on group problem solving. Group Problem Solving is an essential resource for decision-making research in social and cognitive psychology, but also extremely relevant to multidisciplinary and multicultural problem-solving teams in organizational behavior, business administration, management, and behavioral economics.

This is a radical interpretation of Deleuze's Logic of Sense. It focuses on Deleuze's concept of events and brings Deleuze's work into relation with the traditions of process philosophy and American pragmatism.