PDF-[DOWNLOAD] - Number Sense Routines: Building Mathematical Understanding Every Day in

Upper elementary teachers have a big job to help students deepen their mathematical understanding and become more efficient mathematicians Number Sense Routines Developing Mathematical Understanding Every Day in Grades 35 is about tapping into every childs innate number sense and providing daily connected experiences that are responsive to childrens learning needs Through familiar five ten or fifteenminute warmup routines author Jessica Shumway offers both beginner and veteran teachers easy and effective ways to build and solidify students number sense foundations No matter how familiar the routine Jessica infuses each with new joy depth and life She reveals the careful thinking and planning that goes into each routine and provides detailed vignettes and dialogues of how they unfold in real classrooms She gives teachers a clear view into her nuanced facilitation Each routine becomes an exciting opportunity to understand where students are in their understanding and to help students articulate and extend their mathematical thinking Not only will these routines help develop students mathematical understanding as they move towards using standard algorithms but teachers will learn to better recognize the big ideas that emerge in discussions how to encourage important strategies based in number sense and how to facilitate discussions on key mathematical concepts. , . Calculating Matter. , . Immanence. Elizabeth de . Freitas. Adelphi University, NY . defreitas@adelphi.edu. Guiding Questions. What . is the role of number and calculation in . an immanent ontology? . Jacobsmeyer. , Randall Brown. Mar Vista Elementary School. Pajaro. Valley Unified School District. Number Talks & . Mathematical Practices. Standards for Mathematical Practice . Make sense of problems and persevere in solving them.. Reason abstractly and quantitatively.. Construct viable arguments and critique the reasoning of others.. Model with mathematics.. Rigor & Mathematical Practices in Grades . 3-5. 1. RIGOR IN GRADES . 3-5. Welcome Back!. 2. RIGOR IN GRADES . 3-5. Thank You . F. or . Y. our . F. eedback!. +.  . 3. Take responsibility for yourself as a learner. Core Mathematics Partnership. Building Mathematical Knowledge and. High-Leverage Instruction for Student Success. Effective Mathematics Teaching Practices that Support Productive Mathematical Discussions. Winter 2017. Global Neutral . 01001a. Global Warm Neutral. d3d1c8. Global Accent On Dark. ffbf00. Global Accent on Light. ff9800. Global Accent Alt. 97c410. ELA - Coral. ff5147. Math. 009f93. Leadership. Literacy. John Mason. NAMA. March 14 2017. The Open University. Maths Dept. University of Oxford. Dept of Education. Promoting Mathematical Thinking. Conjectures. Everything said here today is a conjecture … to be tested in your experience. Mary . Spagnola. , PhD; Barbara . Fieses. , PhD. Family Routines and Rituals. Routines and rituals provide predictable structure that guides behavior and emotional structure that supports early development.. 2010 . Alabama Course of Study: Mathematics. College- and Career-Ready Standards. Standards for Mathematical Practice. “The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education.” . in Mathematics Teachers. The Mathematical . Education of Teachers. Recommendations. Teachers need mathematics courses that develop a deep understanding of the math they teach.. Mathematics courses should . Developing Mathematical Habits of Mind in Mathematics Teachers The Mathematical Education of Teachers Recommendations Teachers need mathematics courses that develop a deep understanding of the math they teach. 1. ACROSS GRADE COHERENCE IN GRADES 3–5. Welcome Back!. 2. ACROSS GRADE COHERENCE IN GRADES 3–5. Thank You for Your Feedback!. +.  . 3. Take responsibility for yourself as a learner.. Honor timeframes (start, end, and activity).. Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students\' number sense.Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations.In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children\'s number sense develops, and how to implement responsive routines.Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy. You will see some dots very quickly.. Then they will be hidden.. Whisper to your partner:. How many dots?. There are 4 pictures.. EARLY NUMBER SENSE. IRREGULAR PATTERNS: QUANTITIES TO 6, DIFFERENT SIZES.