This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Everyone wants to get rid of something - bad luck, emotional pain, illness, weight, guilt, clutter, dependency, bad habits, or just the blues. Denny Sargent helps lighten your emotional, physical and mental load with simple exercises and rituals.
"I wish you would have been around when I was young!" Any adult who has struggled in math has come to the right place. The same is true for middle school, high school, and college students who currently feel the same way. For all ages, math tends to bring up a lot of feelings, such as anxiety and shame. This is especially true for girls and women. In 99 Insights, Molli the Math Lady takes the reader through a holistic approach to exploring these feelings, including the use of spiritual tools such as meditation. In addition, the topic of women and minorities in math and science is addressed through a progressive lens, taking on contemporary social and political issues as appropriate.
Philosophy long sought to set knowledge on a firm foundation, through derivation of indubitable truths by infallible rules. For want of such truths and rules, the enterprise foundered. Nevertheless, foundationalism's heirs continue their forbears' quest, seeking security against epistemic misfortune, while their detractors typically espouse unbridled coherentism or facile relativism. Maintaining that neither stance is tenable, Catherine Elgin devises a via media between the absolute and the arbitrary, reconceiving the nature, goals, and methods of epistemology. In Considered Judgment, she argues for a reconception that takes reflective equilibrium as the standard of rational acceptability. A system of thought is in reflective equilibrium when its components are reasonable in light of one another, and the account they comprise is reasonable in light of our antecedent convictions about the subject it concerns. Many epistemologists now concede that certainty is a chimerical goal. But they continue to accept the traditional conception of epistemology's problematic. Elgin suggests that in abandoning the quest for certainty we gain opportunities for a broader epistemological purview--one that comprehends the arts and does justice to the sciences. She contends that metaphor, fiction, emotion, and exemplification often advance understanding in science as well as in art. The range of epistemology is broader and more variegated than is usually recognized. Tenable systems of thought are neither absolute nor arbitrary. Although they afford no guarantees, they are good in the way of belief.
Explains the nature and origins of anxiety about mathematics and provides advice on working with a variey of specific mathematical concepts and problems.
A QUICK, HANDS-ON BOOK OF EXERCISES CLINICALLY PROVEN TO MANAGE ANXIETY. Teens today are more stressed than ever. Whether they face problems with school, friends, parents or all of the above, teens need help. Based on cognitive behavioral therapy, the mostwidely used and popular anxiety therapy among clinicians, 101 Ways to Conquer Teen Anxiety offers dozens of beneficial quizzes, activities, tips and illustrations to help teens: • Identify the most common anxiety triggers • Learn essential skills to prevent anxiety attacks • Redirect risky behavior, including substance abuse and self-harm • Understand the options of therapy and medication• Overcome the spike-and-relapse cycle From mindfulness meditation and the repetition of positive mantras to diaphragmatic breathing and nature walks, the activities in this book both calm the body and keep thoughts from spiraling.
Break free from anxiety and manage stress with simple strategies and cognitive behavioral therapy (CBT) techniques in this straightforward and encouraging handbook. Keeping up with friendships, relationships, school, extracurriculars, and social media is already a lot of work. And when anxiety spikes, it sometimes feels like it’s impossible to keep your life on track. You might feel like you’re in a never-ending downward spiral. That’s where this book comes in. The Teen Anxiety Guidebook offers dozens of beneficial quizzes, activities, tips and CBT-based advice to help you: Identify your most common anxiety triggers Learn essential coping skills to prevent anxiety attacks Redirect risky behavior, including substance abuse and self-harm Understand the options of therapy and medication Overcome the spike-and-relapse cycle From mindfulness meditation to diaphragmatic breathing, the exercises in this book will give you the tools you need to redirect negative thought and behavioral patterns and navigate the difficulties of life.
