Mathematical Mindset Teaching and Learning Plan

Ashley Gutierrez: Mathematical Mindset Teaching and Learning Plan

ELM-465: Elementary and Middle School Mathematics

Information

Hello! My name is Ashley Gutierrez, and I am pursuing my degree in Elementary Education at Grand Canyon University. I am passionate about helping students build confidence in mathematics through a growth mindset and hands-on learning experiences. My goal is to create a positive, inclusive classroom where students see this as a tool for problem-solving and creativity.

Learning Experiences

One of my favorite math memories was in 4th grade when my teacher introduced patterns using colored tiles. We explored how patterns repeated and how they connected to multiplication and skip counting. I remember feeling proud when I realized that patterns could help me solve problems faster. This experience helped me understand that math isn't just about numbers. It is about discovering relationships and making sense of how things connect. Another memory was in middle school. Fractions were a challenge for me. I often got frustrated because I couldn't visualize what the numbers represented. One day, my teacher used pizza slices to explain equivalent fractions, and everything finally clicked. This is now something I use when my own kids bring home fraction homework and are struggling to understand it. That moment taught me the importance of using visuals and real-life examples to understand abstract ideas. It also showed me that struggle is part of learning, and mistakes can lead to a deeper understanding.

Glows

1. One of my strengths as a math learner has always been finding creative ways to solve problems. I enjoy looking for patterns and exploring multiple strategies rather than sticking to just one method. This helps me better understand how math concepts connect and apply to real life.

2. Another glow was my persistence. Even when a problem seemed difficult, I was determined to figure it out. I learned to slow down, recheck my steps, and keep trying until I found a solution that made sense.

3. I think I shine when working with others to solve math problems. Explaining my thinking out loud and listening to how others approach a problem often helps me see new perspectives. I have found that collaboration builds confidence, strengthens understanding, and makes learning math more enjoyable.

Grows

1. One area I struggled with in the past was my math anxiety. I used to worry too much about getting the "right" answer instead of focusing on the process. Over time, I've learned that mistakes are an important part of learning.

2. A current grow for me is continuing to build my confidence when teaching math concepts to others. I want to keep improving my ability to explain math in clear and engaging ways that make sense to every student.

Mathematics Instruction

Current research in mathematics education emphasizes the importance of helping students develop a mathematical mindset. This is the belief that everyone can learn and grow in math through effort, practice, and perseverance. According to Boaler (2016), students thrive when teachers focus on reasoning, collaboration, and problem-solving rather than memorization or speed. When math instruction encourages exploration and productive struggle, students become more confident and engaged learners. Equity also plays a vital role in effective math instruction. Every student, regardless of background or ability, deserves access to meaningful math experiences that build understanding and self-efficacy. Teachers can promote equity by using multiple representations, connecting math to real-world contexts, and valuing diverse ways of thinking. The National Council of Teachers of Mathematics (2014) talks about equitable teaching practices supporting deep mathematical understanding and how it helps to close learning gaps. By fostering a mathematical mindset, teachers can help students view mistakes as learning opportunities and build lasting confidence in their mathematical abilities.

My Mathematics Teaching Philosophy

My mathematics teaching philosophy is grounded in the belief that all students are capable of learning and succeeding in math. I want my classroom to be a place where students feel safe to take risks, make mistakes, and grow through challenges. I want them to know making mistakes is OK. Learning mathematics is not just about finding the right answer but about developing reasoning, problem-solving, and persistence. When students view mistakes as opportunities for learning, they begin to see themselves as capable mathematicians. I will design instruction that encourages curiosity and exploration by using real-world examples, visual models, and collaborative problem-solving. I believe that hands-on activities and open-ended questions allow students to think critically and explain their reasoning in multiple ways. This approach helps students build a deeper understanding of math concepts and strengthens their confidence. Equity is at the heart of my teaching philosophy. Every student, regardless of background or learning style, deserves access to meaningful and engaging math experiences. I will provide differentiated instruction to support diverse learners and a promote a classroom culture that celebrates effort, growth, and creativity. From a Christian standpoint, I see teaching mathematics as a way to reflect God's order and design in the world. I want to teach with compassion, kindness, and love. We are called to try to be like Jesus and this is how he teaches. I will continually reflect on my practice and use student feedback and assessment data to tune up my instruction. By fostering a growth mindset and emphasizing effort over perfection, I hope to empower every learner to take ownership of their mathematical journey. My ultimate goal is to help students appreciate the beauty of math, believe in their own potential, and develop a lifelong love for learning.

Strategies

Resources and Technology Tools

Community Resources

Read my latest news

Stay tuned for my upcoming blog posts where I'll share reflections, classroom strategies, and resources that promote a growth mindset in mathematics. I'll discuss ways to make math meaningful, equitable, and engaging for all learners. My goal is to inspire both teachers and students to see math as a subject full of discovery and endless possibilities.