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Selecting a Number Routine
Selecting a Number Routine
Number routines are brief opportunities for students to engage in and discuss mathematics so that they can develop number sense, fluency, and reasoning. They are centered on the idea of a little bit of high-quality practice over the course of a year is highly beneficial. These routines take advantage of students' peak attention and interest during the first few minutes of class. They are used in place of going over homework or traditional bellringers or warm-ups. In fact, neither are appropriate, worthwhile or recommended for the start of the mathematics class.
Keep in mind that number routines:
are intended to be a quick activity to develop number sense, fluency, and reasoning.
should take about 10 minutes.
should leverage think-pair-share and other cooperative strategies.
are intended to engage students in mental mathematics, reasoning, and discussion. Use of paper/pencil should be limited.
should be modified to meet the needs of your students.
should feature carefully selected topics.
should spotlight different strategies or solutions but are not intended for every student to share out or for every solution to be explored.
Number Talks
Number Talks
A Number Talk is a 10 to 15 minute whole group mental math activity where students find the answer to a math problem in their heads, then share aloud the strategies they used to find that answer. This strategy helps to develop quality student discourse in a whole class setting as students are encouraged to explain
their thinking, justify their reasoning, and make sense of each other’s strategies.
Number talks don’t replace other instruction, but they are a powerful complement to it. They get all students involved, help them strengthen fluency, intuition, and mental math strategies, improve students’ ability to explain and critique solutions, and allow teachers a valuable window into their students’ thinking. A well-run number talk is an excellent example of Math Practices 1, 2, 3, 6, 7, and 8.
Number talks don’t replace other instruction, but they are a powerful complement to it. They get all students involved, help them strengthen fluency, intuition, and mental math strategies, improve students’ ability to explain and critique solutions, and allow teachers a valuable window into their students’ thinking. A well-run number talk is an excellent example of Math Practices 1, 2, 3, 6, 7, and 8.
Why Number Talks?
Why Number Talks?
- Develop vocabulary and mathematical language
- Think flexibly with numbers
- Develop fluency and number sense
- Hear and share different thinking
- Math talk-self verbalization & Questions 0.64 effect size
Number-Talks-for-Kindergarten.pdfKindergarten
Kindergarten
Number-Talks-for-Grades-1-2.pdfGrades 1-2
Grades 1-2
Number-Talks-for-Grades-3-5.pdfGrades 3-5
Grades 3-5
Number Talk Images: https://ntimages.weebly.com/photos.html
Mystery Number
Mystery Number
In this routine, students compare similarities and differences in numbers through several clues. Students will experience that there may be more than one correct answer for a clue. It comes from Daily Routines to Jumpstart Math Class (Corwin, 2019).
Splat!
Splat!
Splat! (created by Steve Wyborney) is an interactive number sense strategy that can be used at any grade level. Students are shown representations of numbers. With a splat, part of the representation is hidden and students are asked how many are still shown and asked to reason through how many are hidden. In addition, multiple splats may be shown. In this case, the same color splats would mean the same amount is covered by each splat. Different color splats would represent different values.
More Splat! Options: https://stevewyborney.com/2017/02/splat/
Fraction Splats: https://stevewyborney.com/2017/03/the-fraction-splat-series/
Esti-Mysteries: Estimation Meets Math Mysteries
Esti-Mysteries: Estimation Meets Math Mysteries
Each image invites scholars to wonder what number is represented by the image. As you click through each Esti-Mystery, clues will appear that will allow the students to use math concepts to narrow the set of possibilities to a small set of numbers.
Find a few examples below, but check out the website to download more.
MORE Mathematical Resources
MORE Mathematical Resources
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