TY - BOOK AU - National Research Council TI - Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century SN - DO - 10.17226/13373 PY - 2012 UR - https://nap.nationalacademies.org/catalog/13373/fueling-innovation-and-discovery-the-mathematical-sciences-in-the-21st PB - The National Academies Press CY - Washington, DC LA - English KW - Math, Chemistry, and Physics KW - Surveys and Statistics AB - The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences. ER - TY - BOOK AU - National Research Council A2 - M. Suzanne Donovan A2 - John D. Bransford TI - How Students Learn: Mathematics in the Classroom SN - DO - 10.17226/11101 PY - 2005 UR - https://nap.nationalacademies.org/catalog/11101/how-students-learn-mathematics-in-the-classroom PB - The National Academies Press CY - Washington, DC LA - English KW - Education AB - How Students Learn: Mathematics in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. This book shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. ER - TY - BOOK AU - National Research Council A2 - Jeremy Kilpatrick A2 - Jane Swafford A2 - Bradford Findell TI - Adding It Up: Helping Children Learn Mathematics SN - DO - 10.17226/9822 PY - 2001 UR - https://nap.nationalacademies.org/catalog/9822/adding-it-up-helping-children-learn-mathematics PB - The National Academies Press CY - Washington, DC LA - English KW - Education AB - Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics. ER - TY - BOOK AU - National Research Council TI - The Mathematical Sciences in 2025 SN - DO - 10.17226/15269 PY - 2013 UR - https://nap.nationalacademies.org/catalog/15269/the-mathematical-sciences-in-2025 PB - The National Academies Press CY - Washington, DC LA - English KW - Math, Chemistry, and Physics KW - Education KW - Surveys and Statistics AB - The mathematical sciences are part of nearly all aspects of everyday lifeā€”the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term. ER -