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October 16, 2016


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Best Practices: Number Sense
October 02, 2016
Number sense begins very early and must be a focus of primary math. This is the solid foundation in math that all kids need.
A sense of numbers is critical for primary students to develop math problem solving skills.
The National Council of Teachers of Mathematics increasingly calls for districts to give more attention to building this skill, and studies have found that number sense accounts for 66% of the variance in first grade math achievement. The council have also addressed five critical areas that are characteristic of students who have good number sense:
WHAT IS NUMBER SENSE IN CHILDREN?
Having a sense of how numbers work is a very broad topic that covers all numerical thinking. At its core, it is making sense of math concepts and mathematical reasoning.
Operationally, it is counting skills, having number knowledge, using estimation, and the ability to use problem solving strategies.
Knowing the why of how numbers work is of utmost importance, and children should not be shown the how until they understand the "why." Techniques such as using ten frames and using concrete models to show place value concepts are daily necessities for young children.
Inquiry-based approaches (such as math dice games) to teaching children mathematics should be utilized as primary teaching methods in the early grades.
This is not to say that explicit teaching of sense of numbers skills is not essential, especially for those students from low socio-economic status. We absolutely need to do this.
It is saying that teachers should provide multiple opportunities for students to experience numbers and make connections before putting the pencil to paper.
Carefully consider your objectives and the type of learners in your room when choosing a math game to include. NCTM also suggests you consider:

Seven ways teachers can directly impact a developing sense of number.
1. Link school math to real-world experiences
Present students with situations that relate to both inside and outside classroom experiences. Students need to recognize that numbers are useful for solving problems.
2. Model different computing methods
Focus on what methods make sense for different situations. There is no one right way to compute. We need our students to be flexible thinkers.
3. Mental Math
Real life requires mental computation. Students need to be able to move numbers around in their heads and discuss their strategies.
4. Discuss Strategies
Students must be able to explain their reasoning. This not only will give you insight into how they think, but also will help the children to cement their own ideas and reevaluate them.
5. Estimate
This should be embedded in problem solving. This is not referring to textbook rounding. Real life estimation is about making sense of a problem and using anchor numbers to base reasoning on.
6. Question Students About Reasoning Strategies
All the time, not just when they make a mistake. Constantly probing sends several important messages: your ideas are valued, math is about reasoning, and there are always alternative ways to look at a problem.
7. Measuring Activities
When teaching children mathematics, measuring activities should be front and center. Make students verify estimates through doing.
A sense of numbers is critical for primary students to develop math problem solving skills.
The National Council of Teachers of Mathematics increasingly calls for districts to give more attention to building this skill, and studies have found that number sense accounts for 66% of the variance in first grade math achievement. The council have also addressed five critical areas that are characteristic of students who have good number sense:
- Number Meaning
- Relationships Between Numbers
- Number Magnitude
- Operations Involving Numbers
- Referents for Numbers/Quantities (referents are words or phrases that denote what something stands for)
WHAT IS NUMBER SENSE IN CHILDREN?
Having a sense of how numbers work is a very broad topic that covers all numerical thinking. At its core, it is making sense of math concepts and mathematical reasoning.
Operationally, it is counting skills, having number knowledge, using estimation, and the ability to use problem solving strategies.
Knowing the why of how numbers work is of utmost importance, and children should not be shown the how until they understand the "why." Techniques such as using ten frames and using concrete models to show place value concepts are daily necessities for young children.
Inquiry-based approaches (such as math dice games) to teaching children mathematics should be utilized as primary teaching methods in the early grades.
This is not to say that explicit teaching of sense of numbers skills is not essential, especially for those students from low socio-economic status. We absolutely need to do this.
It is saying that teachers should provide multiple opportunities for students to experience numbers and make connections before putting the pencil to paper.
Carefully consider your objectives and the type of learners in your room when choosing a math game to include. NCTM also suggests you consider:

- the type of mathematical practices involved in each game (there should be more than one)
- how feedback will be given
- does the game encourage competition, collaboration and communication?
- the types of strategies students will have to use to solve a puzzle or to win
Seven ways teachers can directly impact a developing sense of number.
1. Link school math to real-world experiences
Present students with situations that relate to both inside and outside classroom experiences. Students need to recognize that numbers are useful for solving problems.
2. Model different computing methods
Focus on what methods make sense for different situations. There is no one right way to compute. We need our students to be flexible thinkers.
3. Mental Math
Real life requires mental computation. Students need to be able to move numbers around in their heads and discuss their strategies.
4. Discuss Strategies
Students must be able to explain their reasoning. This not only will give you insight into how they think, but also will help the children to cement their own ideas and reevaluate them.
5. Estimate
This should be embedded in problem solving. This is not referring to textbook rounding. Real life estimation is about making sense of a problem and using anchor numbers to base reasoning on.
6. Question Students About Reasoning Strategies
All the time, not just when they make a mistake. Constantly probing sends several important messages: your ideas are valued, math is about reasoning, and there are always alternative ways to look at a problem.
7. Measuring Activities
When teaching children mathematics, measuring activities should be front and center. Make students verify estimates through doing.

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September Show and Tell
September 20, 2016

Student's have been back for 30 some odd days. Most of our time in small groups has been spent building routines and learning how "Parts to Whole" can help us read and write.
An important thing for student's is they need to show how each of them created meaning strategically of the digraphs. These guys have spend the last couple weeks learning and working with digraphs in reading and writing. The point is to get them to use higher order thinking to demonstrate how they created meaning i.e-how will they remember them as they move on to more complicated reading and phonics work.
Each group has it's own fluency challenge. From letter names to high frequency words a differentiated fluency game based on the same idea. Even with spending most of our time on phonics, spelling and reading have to be a fluency practice. My groups beg, for time to do "Up Against the Wall." I've put the data on the wall next to the posters using their data binder numbers. My hope is that by working on sight words their grade level oral reading scores will increase. (By this spending less time on them as a whole.)
I have decided to take the big step to move my lesson planning to Google. This is week 3 and I LOVE it. I have Google Slides Lesson Plans for each group. Each week I make a copy of the plan and make my changes. I can take pictures of student work and up-load it to their file. It does help students have binders they keep everything in guided reading books, their data, everything.
Just because they have been working on phonics doesn't mean they don't real, authentic text. This group is working on putting all their strategies together. They have worked "parts to whole" with sounds and letters to figure out how to break apart words. They are seeing how this strategy is WAY better than guessing.

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What are Best Practices in Phonics Instruction?
September 18, 2016

Timing and Grouping
Phonics instruction provides the most benefit for young readers. The critical period for learning phonics extends from the time that the child begins to read (usually kindergarten) to approximately three years after. In studies, children receiving phonics instruction starting in kindergarten and continuing for two to three years after saw the greatest gains in learning and applying phonics to reading tasks.Phonic instruction for young readers can be offered in any grouping configuration. There was no notable difference in children receiving instruction one-on-one, in small groups or as a whole class. The most influential components were the age of the students and the instructional format.
Systematic Instruction
The best way to teach phonics is systematically. This means moving children through a planned sequence of skills rather than teaching particular aspects of phonics as they are encountered in texts. Systematic instruction can focus on synthetic phonics (decoding words by translating letters into sounds and then blending them), analytic phonics (identifying whole words then parsing out letter-sound connections), analogy phonics (using familiar parts of words to discover new words), phonics through spelling (using sound-letter connections to write words) and/or phonics in context (combining sound-letter connections with context clues to decode new words). Regardless of the specific method used what is most important in systematic instruction is that there is a deliberate and sequential focus on building and using the relationship between sounds and letter symbols to help readers decode new words.Modeling Followed by Independent Practice
Because the connection between letters and sounds is not readily apparent to new readers, modeling is an important aspect of phonics instruction. Both teachers and parents should model ways that a reader uses the sound-symbol relationship to decode unfamiliar words by reading and thinking aloud. The best texts for modeling are high interest or informational. These include (but are not limited to) nursery rhymes, songs, non-fiction books and poems with repetitive language.Once children have been exposed to adult modeling several times, they should be encouraged to practice applying phonics to their own reading. This independent practice helps young readers truly build the connection between symbols and sounds. Adults should guide children in strategically applying phonics to authentic reading and writing experiences to help them develop good decoding skills.
Literature-Based Instruction
For many years phonics was taught in isolation. Worksheets or textbook that asked them to decode and write lists of words is not the answer. Researchers discovered that young readers could not apply the decoding skills “learned” in isolation to real reading tasks such as reading a story or a book. It is now recommended that phonics be taught through literature. While this may seem contrary to the systematic approach to instruction, it is not. Teachers and parents should select pieces of age and developmentally appropriate literature that highlight the phonics skills focused on at particular points in the sequence of instruction. For example, if children are learning to identify the sound-letter connection in /b/ an appropriate piece of literature to teach and reinforce this skill would be one that uses alliteration (repetition of beginning sounds) of the /b/ sound. Plus it helps with skill transfer.
Individualized Approach
Because students come to kindergarten at a variety of different reading readiness levels, it is important that teachers assess where students are at and individualize their phonics instruction. One student may begin the year already knowing single letter sound-letter connections making her ready to work on blends. Another student may have very little phonemic awareness and exposure to print texts. Therefore teachers must tailor instruction to meet each student’s needs. This ensures they will continue to develop appropriate phonics skills.Home-School Connections


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Welcome to my all thing special education blog. I empower busy elementary special education teachers to use best practice strategies to achieve a data and evidence driven classroom community by sharing easy to use, engaging, unique approaches to small group reading and math. Thanks for Hopping By.
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