Math

Building strong mathematical foundations through hands-on, engaging, and developmentally appropriate learning experiences.

Creating a supportive math environment where students develop confidence, problem-solving skills, and a positive math mindset.

Using differentiated, concept-based instruction to help all learners build deep understanding and lasting mathematical success.

Math Philosophy

My math philosophy is grounded in the belief that all students can become confident, capable mathematicians when math is engaging, accessible, and rooted in meaningful learning experiences. I believe children learn math best by first developing strong conceptual understanding and number sense before moving to procedural fluency. Hands-on exploration, visual models, discussion, and real-world problem solving help students make sense of mathematical concepts and build lasting understanding. I view mistakes as an essential part of the learning process and intentionally foster a growth mindset where productive struggle is valued, perseverance is encouraged, and students feel safe taking academic risks. I prioritize student discourse, reasoning, and mathematical communication so learners can explain their thinking, justify solutions, and learn from one another. Most importantly, I strive to build math confidence by creating a supportive environment where every student sees themselves as a capable problem solver. 

Number Sense

How students build deep understanding of numbers.

Includes:

• Counting

• Cardinality

• Number recognition

• Quantity understanding

• Comparing numbers

• Number relationships

• Subitizing

• Composing/decomposing numbers

• Place value foundations

Supports:

• Ten frames

• Number paths

• Counting collections

• Manipulatives

• Number talks

• Visual models

Supporting By:

Conceptual Number Understanding: Building deep number sense by helping students develop meaningful understanding of quantity, number relationships, and how numbers work rather than relying solely on memorization or procedures.

Hands-On Exploration: Using manipulatives, counting collections, ten frames, number paths, and visual models to make abstract number concepts concrete, accessible, and engaging for all learners.

Mathematical Discourse: Encouraging number talks, discussion, and reasoning opportunities that allow students to explain their thinking, compare strategies, and develop flexible mathematical understanding.

Differentiated Support: Providing scaffolded, responsive instruction that meets students at their current level of number development and strengthens foundational skills through targeted practice and intervention.

Confidence & Fluency Development: Creating repeated opportunities for students to subitize, compose and decompose numbers, compare quantities, and build automaticity while developing confidence as young mathematicians.

Addition & Subtraction

Includes:

• Fact fluency development

• Strategies vs memorization

• Story problems

• Making ten

• Counting on

• Part-part-whole

• Number bonds

• Mental math strategies

Supports:

• Manipulative use

• Student strategy examples

• Anchor charts

• Interactive games

Supporting By:

Conceptual Understanding First: Building a strong foundation in addition and subtraction by helping students understand how numbers work together before focusing on procedural fluency or memorization.

Strategy-Based Instruction: Teaching flexible problem-solving strategies such as making ten, counting on, part-part-whole thinking, number bonds, and mental math to develop efficient and meaningful mathematical thinking.

Hands-On Learning: Using manipulatives, visual models, interactive games, and concrete representations to make addition and subtraction concepts accessible, engaging, and easier to understand.

Mathematical Reasoning & Discussion: Encouraging students to explain their strategies, compare approaches, and solve story problems to deepen conceptual understanding and strengthen mathematical communication.

Fluency Through Meaningful Practice: Developing fact fluency through repeated, engaging practice that emphasizes understanding, strategy use, and confidence rather than rote memorization alone.

Hands-On Math Learning

Students are actively engaged in learning.

Includes:

• Manipulatives

• Math centers

• Games

• Partner activities

• Interactive tasks

• Movement-based learning

Supports:

• cubes

• counters

• pattern blocks

• base ten blocks

• number mats

• math tubs

Supporting By:

Active Mathematical Engagement: Creating learning experiences where students actively explore, build, move, discuss, and interact with mathematical concepts rather than passively receiving information.

Concrete-to-Abstract Learning: Using manipulatives and hands-on tools such as cubes, counters, pattern blocks, base ten blocks, and number mats to help students develop conceptual understanding before moving to abstract thinking.

Collaborative Learning Experiences: Incorporating partner activities, math centers, games, and interactive tasks that encourage communication, problem-solving, and learning through peer collaboration.

Differentiated & Accessible Instruction: Providing varied hands-on learning opportunities that meet diverse learning needs, support multiple learning styles, and make math accessible for all students.

Joyful Math Exploration: Building excitement and confidence in mathematics through engaging, movement-based, and playful learning experiences that promote curiosity, perseverance, and positive math identity.

Math Small Groups & Differentiation

Meet students at different readiness levels.

Includes:

• Flexible grouping

• Intervention groups

• Enrichment opportunities

• Scaffolded support

• Visual supports

• Targeted instruction

Supports:

• Rotation models

• Small-group lesson examples

• Intervention activities

• Math conferences

Supporting By:

Data-Driven Differentiation: Using assessment data, observations, and math conferences to identify student needs and provide targeted instruction that meets learners at their current readiness levels.

Flexible Grouping: Organizing students into responsive small groups that shift based on skill development, intervention needs, and enrichment opportunities to ensure instruction remains purposeful and effective.

Targeted Skill Support: Providing scaffolded instruction, visual supports, guided practice, and focused intervention to address learning gaps while building conceptual understanding and confidence.

Enrichment & Extension: Creating opportunities for advanced learners to deepen understanding through challenging tasks, problem-solving experiences, and meaningful extension activities.

Responsive Small-Group Instruction: Utilizing rotation models, intervention activities, and differentiated lesson structures to maximize engagement, personalize learning, and ensure every student receives the level of support or challenge they need.

Math Discourse & Problem Solving

Includes:

• Student discussions

• Explaining thinking

• Justifying answers

• Math vocabulary

• Partner talk

• Real-world problem solving

Supports:

• Sentence stems

• Problem-solving routines

• Discussion prompts

Supporting By:

Mathematical Thinking & Reasoning: Helping students think like mathematicians by encouraging them to analyze problems, explain their thinking, justify solutions, and make connections between mathematical ideas.

Student Discourse: Creating structured opportunities for partner talk, collaborative discussions, and mathematical conversations that strengthen communication, vocabulary, and conceptual understanding.

Problem-Solving Mindset: Teaching students to approach real-world problems with perseverance, strategic thinking, and confidence while valuing productive struggle as part of the learning process.

Language Supports for Mathematical Communication: Providing sentence stems, discussion prompts, and explicit math vocabulary instruction to help students clearly communicate reasoning and participate meaningfully in discussions.

Structured Problem-Solving Routines: Using consistent routines and guided questioning to support students in making sense of problems, selecting strategies, and reflecting on their mathematical thinking.

Math Intervention

Includes:

• Number sense intervention

• Fact fluency support

• Scaffolded instruction

• RTI/MTSS support

• Progress monitoring

Supporting By:

Targeted Intervention: Providing focused, skill-based intervention to address specific mathematical gaps in number sense, computation, problem-solving, and conceptual understanding.

Data-Driven Instruction: Using progress monitoring, assessment data, and ongoing observations to identify needs, adjust instruction, and ensure interventions are responsive and effective.

Scaffolded Support: Delivering explicit, scaffolded instruction with visual models, manipulatives, guided practice, and differentiated strategies to help students access grade-level concepts with confidence.

Tiered RTI/MTSS Support: Implementing structured intervention within an RTI/MTSS framework that provides increasing levels of support based on student need while monitoring growth over time.

Building Mathematical Confidence: Strengthening foundational skills and fact fluency through supportive, targeted instruction that helps students experience success, build perseverance, and develop positive math identity.

Assessment & Data

Use assessment to understand student thinking.

Includes:

• Informal assessment

• Observations

• Exit tickets

• Running math records

• Progress monitoring

• Small-group data

Supports:

Assessment guides:

• grouping

• reteaching

• intervention

• enrichment

Supporting By:

Data-Driven Decision Making: Using assessment to understand student thinking, identify strengths and misconceptions, and make informed instructional decisions that support growth for every learner.

Responsive Instruction: Using informal assessments, observations, exit tickets, running math records, and progress monitoring to adjust pacing, reteach concepts, and provide timely support based on student needs.

Flexible Grouping: Analyzing small-group and assessment data to create responsive instructional groups for targeted intervention, reteaching, and enrichment opportunities.

Student Growth Monitoring: Continuously tracking progress to measure learning over time, evaluate intervention effectiveness, and ensure students are making meaningful mathematical growth.

Student Reflection & Ownership: Using assessment conversations and feedback to help students understand their progress, reflect on their thinking, set goals, and take ownership of their mathematical learning.

Math Centers & Engagement

Includes:

• Independent centers

• Partner games

• Choice activities

• Technology integration

• Interactive practice

Supports:

• center rotations

• games

• hands-on exploration

Supporting By:

Active Student Engagement: Creating meaningful math experiences where students actively explore, practice, collaborate, and apply skills through engaging, hands-on learning opportunities.

Purposeful Math Practice: Designing math centers, partner games, and interactive activities that reinforce key concepts, build fluency, and provide meaningful independent or collaborative practice.

Student Choice & Ownership: Incorporating choice activities that increase motivation, encourage independence, and allow students to engage with math in ways that support their learning styles and interests.

Technology-Enhanced Learning: Integrating purposeful technology tools that provide interactive practice, immediate feedback, differentiation, and additional opportunities for skill reinforcement.

Structured Learning Routines: Using center rotations and consistent routines to maximize instructional time, maintain engagement, and ensure students participate in focused, productive mathematical learning experiences.

Family Math Connections

Includes:

• Math-at-home activities

• Family communication

• Practice games

• Parent support resources

Supports:

• Family math night ideas

• Home connection activities

Supporting By:

Family Communication: Building strong home-school partnerships through consistent communication that keeps families informed about math learning, strategies, and ways to support skill development at home.

At-Home Math Support: Providing accessible math-at-home activities, practice games, and parent resources that reinforce classroom learning in meaningful, manageable ways.

Family Engagement Opportunities: Encouraging family involvement through math nights, home connection activities, and interactive experiences that make math collaborative, positive, and engaging.

Empowering Families as Learning Partners: Equipping families with practical strategies, tools, and confidence to support problem-solving, number sense, and mathematical thinking outside of school.

Strengthening Real-World Math Connections: Promoting opportunities for families to connect math learning to everyday experiences, helping students see math as relevant, useful, and part of daily life.