Big Takeaways:

• Math is a creative subject that involves exploration, patterns, and connections, not just rote memorization.

• Famous mathematicians approached math as an open, flexible, and creative process.

• Encouraging students to see math as an artistic and inventive subject can increase engagement.

• Using multiple representations (visuals, stories, real-world examples) helps students understand concepts deeply.

What Are You Left Wondering?

• How can I help students see the creativity in math when they have only experienced rigid instruction?

• What activities best highlight the beauty and interconnectedness of math concepts?

• How do I shift the mindset of students who believe math is just about right and wrong answers?

A-Ha Moments:

• Realizing that math and art share many similarities in terms of patterns, structures, and problem-solving.

• Seeing how mathematical ideas are present in music, nature, and architecture.

• Understanding that valuing creativity in math can help students build confidence and curiosity.

Big Takeaways:

• The classroom environment plays a huge role in shaping students' mathematical mindsets.

• Students need opportunities to collaborate, discuss, and explain their thinking.

• Open-ended tasks and rich mathematical discussions foster deeper learning.

• Teachers should praise effort, strategies, and progress rather than just correct answers.

What Are You Left Wondering?

• How can I balance structured lessons with open-ended exploration in a time-constrained curriculum?

• What are the best ways to encourage productive struggle without students feeling frustrated?

• How can I build a classroom culture where all students feel valued in their mathematical thinking?

A-Ha Moments:

• Realizing that mistakes should be celebrated as a natural part of learning, not something to be avoided.

• Understanding that teacher language (e.g., emphasizing “yet” in “I don’t understand this yet”) can shift students’ mindsets.

• Seeing that mathematical discussions and group work are essential for developing deep understanding.

• Mistakes and struggles in math actually grow the brain and deepen learning.

• Speed is not a measure of math ability—deep understanding is more important.

• Students benefit from a growth mindset approach, where effort and strategy matter more than innate talent.

• Visual and conceptual math strategies help all learners, not just those who struggle.

What Are You Left Wondering?

• How can I incorporate more visual and open-ended math tasks into my instruction?

• What are the best ways to help students unlearn their fear of making mistakes in math?

• How can I convince parents and colleagues that struggle is beneficial for learning math?

A-Ha Moments:

• Seeing how brain scans show actual growth when students make and correct mistakes.

• Realizing that even students who struggle can excel when given different pathways to understanding.

• Understanding that fluency develops through rich experiences, not just memorization and timed tests.

After reading Chapter 6 of Mathematical Mindsets, one of the key takeaways for me is the emphasis on fostering a growth mindset in math. Boaler talks about the power of believing that mathematical ability isn’t fixed and that everyone can develop their skills with effort and practice. This really shifted my perspective. I’ve always understood the idea of growth mindset, but hearing Boaler tie it so specifically to math was enlightening. It made me think about how I can change the way I approach math education, focusing less on “right answers” and more on the process and creativity involved in problem-solving. The chapter reinforced that students need to feel encouraged to take risks in math, to embrace mistakes as part of the learning process, and to see math as a tool for creative expression rather than just a series of rules to memorize.

Chapter 7 deepened my understanding of the role of math anxiety and how it can block students from developing a positive relationship with the subject. One of the biggest takeaways for me from this chapter was the importance of creating a classroom environment where students feel safe and confident enough to make mistakes. The idea that math anxiety can be as detrimental to learning as not understanding concepts was eye-opening. Boaler’s point that we should help students see that everyone can succeed in math if they believe in themselves really hit home. I’ve often noticed how my own students can freeze up when they face challenges in math, and now I realize the need for more supportive practices to help them push past that anxiety.

Big Takeaways:

Overall, I’m walking away from these chapters with a renewed sense of the importance of mindset in math education. It’s not just about giving students the tools to solve problems but also about creating a space where they feel confident to tackle challenges, make mistakes, and believe they can succeed. Both chapters emphasized the power of a positive mindset and how critical it is to make math feel like an inclusive and creative subject, not something that’s only for a select few.

Wonderings:

I’m left wondering how to help students who have a long history of struggling with math and who might have already developed deep-seated beliefs that they “aren’t good at math.” How can we make them feel safe enough to believe in their potential without feeling overwhelmed by past failures?

A-ha Moment:

My a-ha moment came when Boaler talked about the flexibility of the brain and how effort, not inherent talent, drives success in math. This challenged a lot of my prior assumptions about learning and ability. It made me realize that fostering a growth mindset isn’t just about encouraging students—it’s about creating opportunities for them to embrace challenges and build their math skills from the ground up.

Phrase:

"Empowering them to contribute to their communities."

Word:

"Belonging"

Explanation:
In our grade level, we do not have a designated time for a full science block. However, we integrate science instruction through interdisciplinary lessons. Recently, during a reading lesson, we connected science content by having the students plant seeds and learn about the life cycle of a tree. We read texts related to plant life, discussed vocabulary about the parts of a tree, and observed real-life examples during an outdoor walk.

This activity also tied into our Character Strong program during our morning meeting, where we emphasized themes like growth, responsibility, and patience — connecting the life cycle of trees to personal development and character building.

List of Materials Used:

• Seeds (e.g., sunflower, bean, or tree seeds)

• Soil

• Small planting pots or biodegradable cups

• Watering cans or cups

• Chart paper for recording observations

• Markers for labeling parts of a tree

• Printed diagrams or visuals of a tree’s life cycle

• Children's books or passages about trees and plants

• Outdoor space (school yard or garden area)

• Clipboards and pencils (for drawing or taking notes outside)

I chose this sentence because it reminds me that students need to see how science actually shows up in their real lives, not just in a textbook. The phrase "connecting science to community" stood out to me because it shows how important it is to make lessons relevant to what students already know and care about. I picked the word "empowerment" because when students feel like science belongs to them, it builds their confidence to explore and ask questions.

• Sentence: "A culturally relevant science curriculum validates students' experiences and identities." (Page 55)

• Phrase: "Representation matters" (Page 52)

• Word: "Belonging" (Page 58)

Explanation:
This sentence stuck with me because I believe it's so important for students to feel seen and respected in what they are learning. "Representation matters" stood out as a phrase because it shows how students need to see people like themselves succeeding in science. I chose the word "belonging" because when students feel like they belong in the science world, they are more willing to engage and take risks in their learning.

• Sentence: "When girls see themselves reflected in science, they begin to envision new possibilities for their futures." (Page 77)

• Phrase: "Breaking barriers" (Page 75)

• Word: "Possibility" (Page 79)

Explanation:
I picked this sentence because it really shows the power of representation, especially for girls who might not always see themselves in STEM fields. The phrase "breaking barriers" spoke to me because it reminds me that so many students, especially girls, have to push past stereotypes just to see themselves in science careers. I chose the word "possibility" because it feels hopeful — when students (and especially girls) see what they can be, it opens up a future full of opportunities.