ECH/416: Methods of Teaching in Early Childhood: Mathematics
When designing an instructional math unit for a specific age/grade level, it’s important to consider the child’s cognitive and developmental needs. This is because children at different ages and developmental stages have varying abilities to understand and process mathematical concepts.
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Create 1 developmentally appropriate lesson plan for your unit.
Do the following elements in the lesson plan:
Create objectives that:
Reflect various levels of thinking, including Bloom’s taxonomy or depth of knowledge
Are specific, measurable, and observable
State what children should know and be able to do
Align with content standards
Are age/grade-level and content-area appropriate
List materials used in the lesson, including any necessary handouts, resources, and learning tools.
Identify materials that can be used to develop children’s critical thinking and problem-solving skills.
Detail an instructional sequence that is based on accurate math content and concepts that sets the stage for learning through lesson delivery and guided practice. In the sequence, ensure:
Activities are appropriate for the needs of young children who are culturally diverse and differentiated for those with exceptional learning needs (e.g., English learners, learning disabilities, gifted/talented).
Activities are meaningful for young children by connecting learning to prior knowledge, to the community, and to real-world experiences.
Activities foster young children’s appreciation and engagement in subject matter content and align with objectives and core concepts.
Activities incorporate both children’s and teachers’ use of technology.
A closure is provided.
Teacher wrap-up
Final check for understanding.
There is time for independent practice (independently or in small groups).
Include assessments:
One formative assessment (check for understanding) for each lesson that aligns with the lesson objective(s).
One summative assessment for the unit (assesses all unit objectives).
Analysis of assessment data and expected next steps for instruction and student support.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
How can educators advocate, model, and teach the responsible and ethical use of technology to their students.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
How does the following resources reinforce mathematics skills:
Prodigy
IXL Math
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ECH/416: Methods of Teaching in Early Childhood: Mathematics
Select 6 technology-based resources appropriate for pre-K through Grade 3 classrooms. At least one of these resources must reinforce problem-solving skills.
Title of each resource
Site address or URL for each resource
Grade level that is appropriate for the use of each resource
How each resource might be used to reinforce mathematics skills
Appropriate use of each resource for diverse learners
Benefits and limitations of each resource
How educators can advocate, model, and teach the responsible and ethical use of technology to their students.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Inquiry-based STEM Lesson about Outdoor Shadows: Appropriateness of project to extend content learning and communication skills.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Rubric or checklist that allows for descriptive feedback in an inquiry-based learning STEM lesson called “Outdoor Shadows” for 1st graders.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Inquiry-based learning is a powerful approach to teaching STEM subjects that fosters critical thinking, problem-solving skills, and a deeper understanding of the content. When combined with writing, it can help students develop their language skills while applying their knowledge of STEM concepts.
Develop an inquiry-based learning STEM lesson that incorporates writing and that is appropriate for the pre-K through Grade 3 classroom.
Include the following in your lesson:
Grade level
Content standards
Objectives for each subject area
Procedures
Guiding questions to stimulate discussion, critical thinking, problem-solving, and reasoning
Academic language and instructional strategies used
Rubric or checklist that allows students to self-assess
Rubric or checklist that allows for descriptive feedback
Supports for diverse learners
Write a 260- to 350-word summary to accompany your lesson that explains the following:
How the content standards are addressed.
How technology is used to promote learning locally and globally.
Appropriateness of project to extend content learning and communication skills.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Student involvement in teaching mathematics is essential for building a strong foundation in math skills and concepts. When students are actively involved in the learning process, they are more likely to engage with the material and develop a deeper understanding of math concepts.
Respond to the following in a minimum of 175 words:
What are some teaching practices that support student learning in a way that is equitable so that all children succeed?
Why is it important to include student discussion in mathematics lessons? How would you elicit more student involvement in discussion?
What are some considerations related to questioning that can affect students’ learning? How can you address these considerations?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Research examples of formative and summative math assessments.
Choose one formative assessment and one summative assessment, developed by you or obtained from another source, that are intended to assess the same mathematics concept(s).
Evaluate each assessment by completing the chart below.
Note: Be sure to submit your chosen formative and summative assessments with this assignment. Depending on your chosen assessments, you may provide the link to the assessment or upload a copy of the assessment.
Questions – Formative assessment Summative assessment
Describe each assessment. What is the purpose of each assessment?
What are the assessments intending to measure? Do you think the assessments can be improved? Explain your answer.
How will you ensure the ethical use of the assessments and the assessment data to identify your students’ strengths and needs?
How would you use the data that could be collected from these assessments to differentiate your instruction?
How would you guide learners to self-analyze the results of the assessment and reflect on their learning?
How can the assessment results inform the structuring of cooperative activities for learners?
How would you guide learners in working cooperatively to examine each other’s performance and further understanding?
ECH/416: Methods of Teaching in Early Childhood: Mathematics Wk 2 – Signature Assignment: Instructional Strategies
Teaching mathematics to students in pre-K through Grade 3 can be challenging, but effective instructional strategies can help students build a strong foundation in math that will support their learning throughout their academic career.
Research instructional strategies for teaching mathematics at the pre-K through Grade 3 levels and choose 2 to focus on for this assignment.
Write a minimum of 525 words in a paper in which you analyze your selected strategies.
Do the following in your paper:
Justify your chosen strategies for teaching pre-K through Grade 3 students.
Describe how your strategies support learning of various math concepts.
Describe how to incorporate real-world problem-solving strategies.
Describe questioning strategies you can implement to challenge students’ thinking and enhance their problem-solving skills.
Explain why you think these strategies will be successful for diverse learners.
Describe an activity for each strategy.
Provide 2 resources that support your instructional strategies and/or activities.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Why is it important to assess students continually in their progress toward math concepts? What types of assessments do you prefer? Why? Which scenario would your chosen assessment best fit?
Why is it important that teachers incorporate writing while teaching mathematics? How can writing be used to assess diverse learners?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Research the following:
Your state’s early childhood math standards
Writing SMART objectives
Strategies for teaching math concepts to young children
Choose a grade level (pre-K through Grade 3) and select an early childhood math standard on which to focus.
Write a 525- to 700-word paper and ensure you:
Identify 1 math concept related to your chosen grade level and chosen standard.
Create 1 or 2 developmentally appropriate and measurable objectives that align to the standard you identified.
Develop an activity to teach the math concept you identified to young learners.
Explain how you would determine the success of your activity.
Align your chosen activity to an established teaching strategy and teaching standards.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Thank you for bringing these points to the discussion. Students are learning a lot of content at a young age. As we look at our discussion this week, it is helpful to also consider what we know about child development. Students learn a lot through play. The push to teach children more at a younger age has limited time for play. What would your response be if a family member asked you about lack of play time because of curriculum or technology use? Is there still enough time for play when we are teaching more content?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Thank you for sharing your perspective. I agree that teachers need to be aware of skills and methods that are different than the tradition. Sending out short video clips and examples is so helpful to families when they are supporting their students with their work at home. I have done this in the past, even asking students to model their problem solving to show families how they are using the methods we are teaching. It can be especially confusing when a student goes home and their family tries to show them the way they learned it.
Class: What are some other suggestions for reaching out to parents?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following in a minimum of 175 words and provide specific examples:
How might you address families’ concerns about changes in curriculum and/or teaching strategies that may be different from when they attended school?
In what ways can you use technology to communicate, collaborate, and engage families? Which of these methods do you feel are most effective, and why?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
How do teachers convey this information? Is it possible for these students to catch up to grade level expectations?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Thanks for providing some suggestions for making accommodations for diverse learners. With math we can often shorten the assignment, if needed. When making accommodations it is always important to keep the learning outcome in mind. We want to ensure that students can demonstrate understanding of the skill or concept. For math assignments, additional problems are often included for more practice to build fluency. We can shorten the assignment if it seems overwhelming to have so many problems on one page. Students are still getting a chance to learn the skill, but just don’t get the extra practice. I have even folded papers at times so it looks like there are less problems on a page.
Class: What are your thoughts on shortening assignments?
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ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following in a minimum of 175 words and provide specific examples:
What is the difference between modifications and accommodations? Why are they both necessary for a diverse group of learners?
What are some strategies for adapting content and instruction for learners with moderate and/or severe disabilities?
What modifications might you incorporate for gifted learners?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
ECH/416: Methods of Teaching in Early Childhood: Mathematics
What are some other ways you can engage students in direct instruction?
What are some ways you can teach students responsibility and integrity in the mathematics classroom.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Student involvement in teaching mathematics is essential for building a strong foundation in math skills and concepts. When students are actively involved in the learning process, they are more likely to engage with the material and develop a deeper understanding of math concepts.
Respond to the following in a minimum of 175 words:
What are some teaching practices that support student learning in a way that is equitable so that all children succeed?
Why is it important to include student discussion in mathematics lessons? How would you elicit more student involvement in discussion?
What are some considerations related to questioning that can affect students’ learning? How can you address these considerations?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Using a variety of assessments to assess students continually in their progress toward math concepts is crucial for gaining a comprehensive understanding of each student’s strengths and weaknesses, accommodating different learning styles and abilities, and providing students with a well-rounded education. This helps teachers to adjust their teaching strategies to better suit individual students and identify areas where students need extra support.
Respond to the following in a minimum of 175 words:
Why is it important to assess students continually in their progress toward math concepts? What types of assessments do you prefer? Why? Which scenario would your chosen assessment best fit?
Why is it important that teachers incorporate writing while teaching mathematics? How can writing be used to assess diverse learners?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Research indicates that mathematical performance at an early age establishes a foundation for future success. Early math skills also play a role in developing important life skills, such as decision-making and problem-solving.
Respond to the following in a minimum of 175 words:
What can a teacher of pre-K through Grade 3 do to promote a strong foundation in math?
What are some ways a teacher can connect mathematical ideas to real-world activities?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following be sure to provide references
Teaching mathematics to students in pre-K through Grade 3 can be challenging, but effective instructional strategies can help students build a strong foundation in math that will support their learning throughout their academic career.
Research instructional strategies for teaching mathematics at the pre-K through Grade 3 levels and choose 2 to focus on for this assignment.
Write a minimum of 525 words in a paper in which you analyze your selected strategies.
Do the following in your paper:
Justify your chosen strategies for teaching pre-K through Grade 3 students.
Describe how your strategies support learning of various math concepts.
Describe how to incorporate real-world problem-solving strategies.
Describe questioning strategies you can implement to challenge students’ thinking and enhance their problem-solving skills.
Explain why you think these strategies will be successful for diverse learners.
Describe an activity for each strategy.
Provide 2 resources that support your instructional strategies and/or activities.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Compete the following;
Inquiry-based learning is a powerful approach to teaching STEM subjects that fosters critical thinking, problem-solving skills, and a deeper understanding of the content. When combined with writing, it can help students develop their language skills while applying their knowledge of STEM concepts.
Develop an inquiry-based learning STEM lesson that incorporates writing and that is appropriate for the pre-K through Grade 3 classroom.
Include the following in your lesson:
Grade level
Content standards
Objectives for each subject area
Procedures
Guiding questions to stimulate discussion, critical thinking, problem-solving, and reasoning
Academic language and instructional strategies used
Rubric or checklist that allows students to self-assess
Rubric or checklist that allows for descriptive feedback
Supports for diverse learners
Write a 260- to 350-word summary to accompany your lesson that explains the following:
How the content standards are addressed
How technology is used to promote learning locally and globally
Appropriateness of project to extend content learning and communication skills
ECH/416: Methods of Teaching in Early Childhood: Mathematics
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Answer the following question;
Why is it important to collaborate with colleagues, families, and students to improve your teaching practice?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Provide answers to the following questions;
What are some of your areas of strength and weakness concerning math content and/or teaching methods? List at least 2 strengths and 2 weaknesses
What are some strategies you could use for self-reflection to improve your teaching practice? List at least 2 strategies
Why is it important to self-reflect to improve your teaching practice?
How might you guide learners through their own self-reflection of their learning? Provide at least 2 examples.
Why is it important for learners to self-reflect on their learning?
Why is it important for students to be involved in making decisions, exploring, and inventing in the classroom setting? How do these types of activities help promote engagement and purposeful learning?
What are some resources you can use to improve your content knowledge and/or teaching practice? List at least 5 resources.
What are some ways you can collaborate with colleagues, families, and students to improve your teaching practice? List at least 3 strategies.
Why is it important to collaborate with colleagues, families, and students to improve your teaching practice?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create detailed notes for the following information
Mathseeds is an online math program specifically designed for children aged 3-9.
Grade Level: Pre-K – 3
Math Skills Reinforcement: The program uses interactive lessons and activities to teach and reinforce math skills.
Diverse Learners: The program adapts to the individual learning pace of each student.
Benefits: Engaging, adaptive learning, designed specifically for young learners.
Limitations: Requires subscription, internet access.
Ethical Use of Technology: Teachers can advocate for responsible use by monitoring usage and ensuring the program is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create detailed notes for the following information
SplashLearn is a game-based learning platform covering math and reading skills.
Grade Level: K-5
Math Skills Reinforcement: The platform uses games to teach and reinforce math skills.
Diverse Learners: The platform adapts to the individual learning pace of each student.
Benefits: Engaging, adaptive learning, comprehensive coverage of math curriculum.
Limitations: Requires subscription, internet access.
Ethical Use of Technology: Teachers can model responsible use by setting time limits and ensuring the platform is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create detailed speaker notes to the following information
Math Playground is a website that offers math games, logic puzzles, and educational resources.
Grade Level: 1-6
Math Skills Reinforcement: The website offers a variety of games and puzzles that reinforce math skills.
Diverse Learners: The website offers a range of difficulty levels to cater to diverse learners.
Benefits: Free, wide variety of games and puzzles.
Limitations: Requires internet access, some games may be too challenging for younger students.
Ethical Use of Technology: Teachers can model responsible use by setting time limits and ensuring the website is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create detailed speaker notes to the following information.
Zearn is a comprehensive, curriculum-aligned math program.
Grade Level: K-5
Math Skills Reinforcement: Zearn offers comprehensive math instruction that aligns with common core standards.
Diverse Learners: The program adapts to the individual learning pace of each student.
Benefits: Comprehensive, adaptive learning, aligns with common core standards.
Limitations: Requires subscription, internet access.
Ethical Use of Technology: Teachers can advocate for responsible use by monitoring usage and ensuring the program is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create speaker notes for the following information.
Math Playground is a website that offers math games, logic puzzles, and educational resources.
Grade Level: 1-6
Math Skills Reinforcement: The website offers a variety of games and puzzles that reinforce math skills.
Diverse Learners: The website offers a range of difficulty levels to cater to diverse learners.
Benefits: Free, wide variety of games and puzzles.
Limitations: Requires internet access, some games may be too challenging for younger students.
Ethical Use of Technology: Teachers can model responsible use by setting time limits and ensuring the website is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create speaker nots for the following information
Khan Academy Kids is an educational app for children ages 2-7.
Grade Level: Pre-K – 2
Math Skills Reinforcement: The app includes activities and lessons on counting, shapes, and basic arithmetic.
Diverse Learners: The app includes voice instructions and visual aids to support diverse learners.
Benefits: Free, comprehensive, and interactive.
Limitations: Requires a device and internet access.
Ethical Use of Technology: Teachers can advocate for responsible use by monitoring usage and ensuring the app is used for educational purposes.
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ECH/416: Methods of Teaching in Early Childhood: Mathematics
Create speaker notes for the following.
Prodigy is a game-based learning platform that covers math curriculum from Grade 1 to 8.
Grade Level: 1-8
Math Skills Reinforcement: Prodigy uses a game-based approach to teach and reinforce math skills.
Diverse Learners: The game adapts to the individual learning pace of each student.
Benefits: Engaging, adaptive learning, comprehensive coverage of math curriculum.
Limitations: Requires internet access, may not be suitable for students who struggle with game-based learning.
Ethical Use of Technology: Teachers can model responsible use by setting time limits and ensuring the game is used for educational purposes.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Technology-based resources can be valuable tools for enhancing the learning experience of students in pre-K through Grade 3 classrooms. The resources allow students to participate in activities and engage with learning material in a fun and interactive way.
Research technology-based resources that support math instruction.
Select 6 technology-based resources appropriate for pre-K through Grade 3 classrooms. At least one of these resources must reinforce problem-solving skills.
Create an 8- to 10-slide presentation on your selected technology resources.
Include the following in your presentation:
Title of each resource
Site address or URL for each resource
Grade level that is appropriate for the use of each resource
How each resource might be used to reinforce mathematics skills
Appropriate use of each resource for diverse learners
Benefits and limitations of each resource
How educators can advocate, model, and teach the responsible and ethical use of technology to their students
A list of references used to create the presentation
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Write a paper of 525 words
Respond to the following;
Teaching mathematics to students in pre-K through Grade 3 can be challenging, but effective instructional strategies can help students build a strong foundation in math that will support their learning throughout their academic career.
Research instructional strategies for teaching mathematics at the pre-K through Grade 3 levels and choose 2 to focus on for this assignment.
Write a minimum of 525 words in a paper in which you analyze your selected strategies.
Do the following in your paper:
Justify your chosen strategies for teaching pre-K through Grade 3 students.
Describe how your strategies support learning of various math concepts.
Describe how to incorporate real-world problem-solving strategies.
Describe questioning strategies you can implement to challenge students’ thinking and enhance their problem-solving skills.
Explain why you think these strategies will be successful for diverse learners.
Describe an activity for each strategy.
Provide 2 resources that support your instructional strategies and/or activities.
Format your paper according to APA guidelines.
Submit your assignment.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following
As an educator of young children, it is crucial that you understand the importance of your state’s early childhood math standards, as these standards provide you with a roadmap for what young children should know and be able to do in math at each stage of their development.
Writing SMART objectives is an essential skill for any educator, including those teaching early childhood math. By writing objectives that are SMART, you can clarify what you want your students to learn, how you will measure their learning, and when you expect them to achieve it.
Young children are capable of learning math concepts, but they need appropriate strategies to help them make sense of abstract ideas. As an early childhood math educator, you need to use effective strategies that are developmentally appropriate and engaging.
Focusing on these elements, you can help ensure that your students receive a high-quality math education and are prepared for success in later grades.
Considering the above, research the following:
West Virginia’s early childhood math standards.
Writing SMART objectives.
Strategies for teaching math concepts to young children.
Choose a grade level (pre-K through Grade 3) and select an early childhood math standard on which to focus.
Write a 525- to 700-word paper and ensure you:
Identify 1 math concept related to your chosen grade level and chosen standard.
Create 1 or 2 developmentally appropriate and measurable objectives that align to the standard you identified.
Develop an activity to teach the math concept you identified to young learners.
Explain how you would determine the success of your activity.
Align your chosen activity to an established teaching strategy and teaching standards.
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following.
Family engagement plays a critical role in supporting young children’s learning and development, especially in mathematics. By actively engaging families in their children’s math learning, educators can help support children’s positive attitudes toward math and promote their overall problem-solving skills.
Respond to the following in a minimum of 175 words and provide specific examples:
How might you address families’ concerns about changes in curriculum and/or teaching strategies that may be different from when they attended school?
In what ways can you use technology to communicate, collaborate, and engage families? Which of these methods do you feel are most effective, and why?
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ECH/416: Methods of Teaching in Early Childhood: Mathematics
Respond to the following post;
Diversification in teaching strategies should be grounded in an understanding of a student’s abilities, strengths, and challenges. It is important for educators to use a variety of teaching strategies that engage all learners and support their unique learning styles. By doing so, educators can create a more inclusive classroom environment that fosters the success of all learners.
Respond to the following in a minimum of 175 words and provide specific examples:
What is the difference between modifications and accommodations? Why are they both necessary for a diverse group of learners?
What are some strategies for adapting content and instruction for learners with moderate and/or severe disabilities?
What modifications might you incorporate for gifted learners?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Student involvement in teaching mathematics is essential for building a strong foundation in math skills and concepts. When students are actively involved in the learning process, they are more likely to engage with the material and develop a deeper understanding of math concepts.
Respond to the following in a minimum of 175 words:
What are some teaching practices that support student learning in a way that is equitable so that all children succeed?
Why is it important to include student discussion in mathematics lessons? How would you elicit more student involvement in discussion?
What are some considerations related to questioning that can affect students’ learning? How can you address these considerations?
Review the College’s Conceptual Framework.
How does this topic link to the College’s Conceptual Framework and the framework’s philosophical relationship to effective teacher preparation?
ECH/416: Methods of Teaching in Early Childhood: Mathematics
Using a variety of assessments to assess students continually in their progress toward math concepts is crucial for gaining a comprehensive understanding of each student’s strengths and weaknesses, accommodating different learning styles and abilities, and providing students with a well-rounded education. This helps teachers to adjust their teaching strategies to better suit individual students and identify areas where students need extra support.
Respond to the following in a minimum of 175 words:
Why is it important to assess students continually in their progress toward math concepts? What types of assessments do you prefer? Why? Which scenario would your chosen assessment best fit?
Why is it important that teachers incorporate writing while teaching mathematics? How can writing be used to assess diverse learners?