Why Has Mathematics Instruction Changed? Myths and Facts Family and Community Support Myth Fact • Some people just can’t math • Every adult and every child can mathematics Family and Community Support Mathematics for All … As society changes, schools need to respond to these changes and provide meaningful mathematics to ALL of our students, ALL of the time Family and Community Support Myth Fact • Math takes place only in the classroom • Mathematical literacy is deeply embedded in the modern day workplace and in everyday life Family and Community Support Mathematics Everywhere … To be successful in many occupations and to be able to function in today’s technological world, students must be able to process and interpret data, communicate their understanding with others and be able to apply mathematical reasoning Family and Community Support Myth • Literacy is reading and writing Fact • Literacy is far broader, including an understanding of graphs, tables, statistics, probability Family and Community Support Mathematical Literacy … Mathematical literacy includes the ability to put mathematical knowledge and skills to functional use, and to pose and solve mathematical problems in a variety of situations Family and Community Support Links to Literacy … Family and Community Support Myth Fact • Knowing number facts and procedural skills are no longer valued by teachers • Knowing number facts and procedural skills has become a smaller portion of the mathematics valued by teachers Family and Community Support Problem Solving … Problem solving is the most important and challenging process in mathematics Family and Community Support Myth Fact • Students learn • Students learn math best through math best when teacher-directed they are active lessons participants in the learning process Family and Community Support Active Learning … Students are active individuals who construct, modify, and integrate ideas by interacting with the physical world, materials, and other students NCTM, 1989, p.17 Family and Community Support Teacher’s Role … The teacher’s role is to provide learning activities and create an environment that engages students, facilitating their development of mathematical concepts Family and Community Support Myth Fact • Assessment • Assessment should include a should consist of variety of: journals, tests and portfolios, quizzes performance tasks, projects, quizzes, tests, observations Family and Community Support Assessment of Learning … A student is assessed on how well he or she solves problems, shows understanding of concepts, applies mathematical procedures, and communicates required knowledge Family and Community Support Assessment for Learning … Teachers need to observe students as they mathematics, reflect on student responses, provide oral feedback to students, and adjust instruction based on these observations Family and Community Support Myth Fact • The use of calculators will have a negative impact on students’ math skills • When used appropriately, calculators improve computation skills Family and Community Support Myth or Fact? • Manipulatives are for young children • Manipulatives help connect abstract thought to something tangible for learners of ALL ages Family and Community Support x x2 y y2 xy -1 -x -x2 -y -y2 -xy One Algebra Tile Model f or x2 - 2x + Family and Community Support