PACT Mathematics Latest Update Graded A+

PACT Mathematics Latest Update Graded A+ Principles of mathematics - equity, curriculum, teaching, learning, assessment, technology. equity- excellence in math education requires equity, high expectations and strong support for all students curriculum- must be coherent, focused on important and well-articulated math concepts across grades teaching - effective math teaching requires understanding what students know and need to learn while challenging and supporting students to learn it well Learning - students must learn mathematics with understanding , actively building new knowledge from experience and previous knowledge. assessment - should support the learning of important math concepts and furnish useful information to both teachers and students technology - essential in teaching and learning math, enhances the facilitation of students learning. how can you improve the comprehension for ELL's ? provide examples of math processes and modeling while describing the process. inductive teaching learning through examples - helps ELL understand math showing how the concept is used rather than explaining the concept step by step. deductive approach to teaching math learning step by step minuend the number from which another number is subtracted. the top number in the equation minuend - subtrahend = difference subtrahend the number that is being subtracted divisor what is being divided dividend (divided by) divisor = quotient what are the three reasons ELL struggles with vocab? 1) math tends to have a large number of terms with the assumption that the students understand the prior knowledge of the terms ex: denominator, subtraction, minuend, divisor, subtrahend 2) terms having one meaning in one subject can take different meaning in the vocab of math ex: quarter, column, product, rational, even, table 3) vocab tends to encompass a variety of homophones. ex: even, face, plane, mean, right, some/sum, volume homophones words pronounced the same way but have different meanings Infant/toddlers understanding of one or more / rote counting / rote memorization Rote ___? - verbal repetition of numbers. - 2/3 years. Rote _____? - remember numbers by repetition. rote memorization is used as the foundation for building and understanding number concepts of ? combining, separating and naming amounts using concrete objects as soon as language develops. when a child counts blocks one by one, 1,2,3,4,5,6,7,8 - what should you ask them to verify their knowledge? how do you know? can you show me 8? will tell us if the child knows that the entire set makes up 8 versus the last block meaning / named 8. - they need to understand the idea of amount is inclusive - to all of the blocks counted versus the last name of the block - named 8 how can you encourage children to think about