@BOOK{NAP author = "National Academies of Sciences, Engineering, and Medicine", editor = "Linda Casola and Tiffany E. Taylor", title = "Increasing Student Success in Developmental Mathematics: Proceedings of a Workshop", isbn = "978-0-309-49662-9", abstract = "The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with particular attention to students who are unsuccessful in developmental mathematics and with an eye toward issues of access to promising reforms and equitable learning environments.\nThe two-day workshop was designed to bring together a variety of stakeholders, including experts who have developed and\/or implemented new initiatives to improve the mathematics education experience for students. The overarching goal of the workshop was to take stock of the mathematics education community's progress in this domain. Participants examined the data on students who are well-served by new reform structures in developmental mathematics and discussed various cohorts of students who are not currently well served - those who even with access to reforms do not succeed and those who do not have access to a reform due to differential access constraints. Throughout the workshop, participants also explored promising approaches to bolstering student outcomes in mathematics, focusing especially on research and data that demonstrate the success of these approaches; deliberated and discussed barriers and opportunities for effectively serving all students; and outlined some key directions of inquiry intended to address the prevailing research and data needs in the field. This publication summarizes the presentations and discussion of the workshop. ", url = "https://nap.nationalacademies.org/catalog/25547/increasing-student-success-in-developmental-mathematics-proceedings-of-a-workshop", year = 2019, publisher = "The National Academies Press", address = "Washington, DC" } @BOOK{NAP author = "National Research Council", editor = "Jeremy Kilpatrick and Jane Swafford and Bradford Findell", title = "Adding It Up: Helping Children Learn Mathematics", isbn = "978-0-309-21895-5", abstract = "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. \nThe 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:\n\n Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction.\n 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.\n\nThe 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.", url = "https://nap.nationalacademies.org/catalog/9822/adding-it-up-helping-children-learn-mathematics", year = 2001, publisher = "The National Academies Press", address = "Washington, DC" }