What Is A Mathematical Concept
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What is a Mathematical Concept?
Author: Elizabeth de Freitas
language: en
Publisher: Cambridge University Press
Release Date: 2017-06-22
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
Effects of integrated learning: explicating a mathematical concept in inquiry-based science camps
Although various arguments for integrated learning of mathematics and science exist, empirical evidence that integrated learning is as beneficial as anticipated is limited. Therefore this quasi-experimental study investigates the effect of integrated learning of mathematics and science on eight student variables by comparing it to a control group. Results show that integrated learning is no miracle cure but has positive and negative effects on specific student outcomes. Whereas integrated learning effects students' view of the relation between mathematics and science positively, it effects students' scientific self-concept negatively. Thus, integrated learning should not substitute but rather complement disciplinary learning. Obwohl zahlreiche Argumente für das integrierte Lernen von Mathematik und Naturwissenschaften existieren, ist die vorteilhafte Wirkung integrierten Lernens begrenzt empirisch belegt. Im Rahmen dieser quasi-experimentellen Studie wird der Effekt integrierten Lernens auf acht Schülervariablen durch Vergleiche mit einer Kontrollgruppe untersucht. Die Ergebnisse zeigen, dass integriertes Lernen kein Allheilmittel ist sondern positive und negative Effekte auf bestimmte Schülervariablen hat. Während integriertes Lernen die Sicht der Schülerinnen und Schüler auf die Beziehung zwischen Mathematik und Naturwissenschaften positiv beeinflusst, hat es einen negativen Effekt auf das naturwissenschaftliche Selbstkonzept. Daher sollte integriertes Lernen nicht stellvertretend sondern ergänzend zu disziplinärem Lernen implementiert werden.
Basic Math Concepts
FROM THE PREFACE In the years since the first edition, I have continued to consider ways in which the texts could be improved. In this regard, I researched several topics including how people learn (learning styles, etc.), how the brain functions in storing and retrieving information, and the fundamentals of memory systems. Many of the changes incorporated in this second edition are a result of this research. The changes were field-tested during a three-year period in which I taught a water and wastewater mathematics course for Palomar Community College, San Marcos, California. All the fundamental math concepts and skills needed for daily water/wastewater treatment plant operations. This first volume, "Basic Math Concepts for Water and Wastewater Plant Operators," provides a thorough review of the necessary mathematical concepts and skills encountered in the daily operations of a water and wastewater treatment plant. Each chapter begins with a skills check to allow the student to determine whether or not a review of the topic is needed. Practice problems illustrate the concepts presented in each section.