Latest / New Teacher Talk / Ep 187: Breaking the "I'm Just Not Good at Math" Myth
Transcript
- My name is Ken King,
- and I am an education professor at Aurora University in
- Aurora, Illinois.
- Today I'm going to talk about fixed mindsets and what we
- can do to help learners overcome.
- I'm just not a science person.
- As a former high school science teacher,
- I've heard students use this phrase,
- sometimes right after receiving a disappointing exam grade,
- to help rationalize their performance.
- Later in my career,
- I've heard prospective elementary teachers echo similar
- sentiments,
- often relieved when their cooperating teacher admits that
- they don't teach science every day.
- This statement reveals a deeply ingrained belief that only
- certain people are wired for science,
- as well as disciplines such as math, physical education,
- or music.
- It further challenges the belief that success depends on
- innate talent rather than effort or learning.
- Underneath this cliché lies several supporting beliefs,
- that specific abilities are something one is born with,
- that understanding should come easily if one is truly
- capable and that lack of immediate success proves an
- absence of aptitude.
- These ideas reinforce a self-fulfilling identity.
- I'm not a science person, but discourages persistence,
- curiosity, and risk-taking.
- The mindset mirrors broader myths like,
- I'm not a math person, or I don't have that kind of brain,
- both of which reflect the false notion that intelligence
- and ability are fixed rather than developed through
- experience and effort.
- In this discussion,
- we will examine the learning theories and research that
- reveal the reality behind this myth and show how
- intelligence and capacity for learning can, in fact,
- grow over time.
- It's time to realize that we can all be science people,
- we can all be math people, and music people too.
- There's a path forward to make it happen.
- It's time to defeat the myth, fixed intelligence.
- Let's start with a question.
- What do we know about learning?
- The everyday students, and even adults,
- fall into the trap of believing that ability is fixed.
- To understand why these beliefs are misleading and how
- teachers can help students move beyond them,
- it's useful to look at several key ideas from modern
- learning science.
- Four perspectives in particular, neuroplasticity,
- challenging fixed intelligence beliefs,
- thoughtful instructional design, and multimodal learning,
- offer a more accurate and empowering picture of how
- learning actually works.
- These concepts not only counter the myths,
- but also provide practical guidance for designing
- instruction that helps every learner grow.
- Let's start by discussing neuroplasticity.
- Neuroplasticity refers to the brain's ability to change and
- reorganize itself in response to experience.
- When learners practice a skill or revisit a concept,
- the neural pathways involved become stronger and more
- efficient, often summarized as neurons that fire together,
- wire together.
- New connections form with repeated use,
- while unused ones weaken,
- showing that learning literally reshapes the brain.
- Productive struggle and mistakes support this process by
- prompting the brain to adjust and strengthen the networks
- needed for long-term understanding.
- Emotion also plays a key role.
- Curiosity, motivation,
- and a sense of safety promote growth,
- while stress can interfere with the learner's ability to
- form new connections.
- The brain builds knowledge more effectively when lessons
- tap into multiple pathways, including movement,
- visual input, language, hands-on activities,
- and social interaction.
- Because the brain remains plastic throughout life,
- these principles apply to learners of all ages,
- even though the children's brains are especially adaptable.
- Sleep further consolidates learning by stabilizing new
- memories and reinforcing neural changes.
- Altogether,
- neuroplasticity shows that learning is an active,
- dynamic process shaped by practice, environment,
- and meaningful engagement.
- Challenging fixed beliefs is important.
- Neuroplasticity directly challenges the idea that
- intelligence is fixed by showing that the brain is
- malleable, not static.
- The older view assumed that people were born with a certain
- level of intelligence and that their abilities could not
- significantly change.
- Neuroplasticity proves otherwise.
- Learning, practice,
- and new experiences physically reshape the brain by
- strengthening the existing pathways and creating new ones.
- This means that skills once thought to be dependent solely
- on innate ability, such as problem-solving, reading,
- or reasoning,
- could grow with effort and the right kinds of practice.
- Because neural connections continue to form throughout
- life,
- neuroplasticity shows that intelligence is dynamic and
- expandable when learners engage in challenging tasks,
- make mistakes, receive feedback,
- and persist through difficulty,
- their brains adapt and become more efficient in handling
- complex thinking.
- This directly contradicts the fixed intelligence mindset
- and supports the growth mindset.
- This directly contradicts the fixed intelligence mindset
- and supports the growth mindset.
- Abilities are not pre-determined limits but can be
- developed over time.
- In terms of instruction,
- teachers have an influence over this.
- Begovki's zone of proximal development,
- sometimes called the ZPD,
- and Brunner's concept of scaffolding provide the
- instructional structure that makes the neuroplastic change
- possible.
- The ZPD can be described as the sweet spot for learning,
- tasks that lie just beyond what a learner can do
- independently, but become achievable with guidance.
- Scaffolding, whether through modeling,
- through questioning visual supports or collaborative work,
- supplies the temporary support that enables learners to
- successfully engage in this zone.
- As students practice within the ZPD,
- supports are gradually withdrawn,
- promoting independence and strengthening neural pathways
- through repeated, meaningful effort.
- Together, neuroplasticity, ZPD,
- and scaffolding offer powerful counter-arguments to fixed
- intelligence beliefs.
- Growth occurs when learners are supported to stretch beyond
- the current level, encounter manageable challenge,
- and persist through difficulty.
- Learning is therefore not the unfolding of a preset
- ability,
- but the act of construction and reconstruction of the brain
- itself.
- To support this,
- we can look at the roles of multimodal learning.
- So to tie all this together,
- it's important to remember that the brain learns best when
- it's engaged in many different ways.
- Using Rupert, visual input, use of language,
- hands-on activities,
- and social interaction activates multiple parts of the
- brain at once, which strengthens learning by building rich,
- connected neural networks.
- This is not the same as the outdated idea of learning
- styles,
- which suggests that each person learns best through one
- preferred mode, like visual or auditory.
- Instead,
- research shows that everyone benefits from using multiple
- modalities together,
- because each one reinforces learning in a different way.
- Carrying these approaches with support in ZPD and the
- natural growth that comes from neuroplasticity helps all
- learners build stronger understanding over time.
- What can teachers do?
- Well,
- we understand that how the brain grows through challenge,
- support,
- and varied learning experiences naturally leads to the
- question of what teachers can do to promote that growth.
- Free, powerful strategies, giving constructive feedback,
- designing scaffolded tasks,
- and modeling a growth mindset are all important.
- These actions will translate the science of learning into
- everyday classroom practice.
- These approaches create the conditions that the brain needs
- to build strong neural networks, take productive risks,
- and develop confidence as a learner.
- One of the first things a teacher can do is emphasize
- mastery-oriented feedback.
- Focusing feedback on effort, strategy use, and progress,
- rather than innate ability,
- helps students see learning as something they do,
- not something they are.
- When teachers highlight the specific actions students took,
- such as revising a hypothesis,
- choosing an effective method,
- or trying a new problem-solving approach,
- they reinforce the idea that the improvements come from a
- purposeful effort.
- This kind of feedback also helps students recognize what is
- working so they can repeat those strategies in the future.
- Research by Hattie and Temperly, back in 2007,
- shows that the feedback directed toward the process of
- learning,
- not just the final answer to the learner's traits,
- has a powerful impact on achievement because it strengthens
- self-efficacy and it encourages persistence.
- Here are two examples of how to frame feedback that will
- make a difference by showing students that effort and
- action, rather than their identity, makes a difference.
- In a science example, providing feedback such as,
- you try two different ways to solve a chemistry problem
- before finding a method that worked.
- That persistence and willingness to test strategies is what
- helped you get the correct answer.
- Keep using that approach.
- This works because it praises the strategy,
- revising the procedure, and the effort,
- learning the trial again, and the growth.
- There are results,
- rather than labeling the student as being good at science.
- In an example drawn from math,
- this is the sort of feedback that supports learning.
- It's said to the student,
- you tried several different ways to solve that fraction
- problem before finding the method that worked.
- In fact, you found two ways that work.
- That persistence and willingness to try new ideas is what
- helped you get the correct answer.
- Keep that up.
- This supports learning and a change of perspective as it
- focuses on the student's problem-solving process and
- perseverance and reinforces the idea that success comes
- from strategic effort, not from being math-ers.
- Using scaffolding to design challenging tasks is another
- important approach to breaking the fixed mindset idea.
- Using the zone of proximal development means designing
- tasks that stretch students just beyond what they can
- currently do on their own,
- but are still achievable with the right kind of support.
- Scaffolding provides that support through modeling,
- prompts, visuals, sentence starters, checklists,
- or guided practice.
- As students become more capable,
- these supports are gradually removed,
- so learners get removed from guided work to collaborative
- work to independent mastery.
- This approach reflects Vygotsky's view that learning
- potential is highest when students operate in this zone of
- challenge with just enough assistance to be successful.
- Fisher and Gray's gradual release of responsibility model
- reinforces this idea by showing how effective teaching
- shifts cognitive work from the teacher to the student
- deliberate stages promoting stronger understanding and long
- term trends.
- Let's consider examples from literacy and social studies as
- to how you might do this.
- When teaching students how to write an analytical
- paragraph,
- a teacher might begin by modeling how to identify evidence
- and explain its significance.
- Students then practice with a partner using a structured
- graphic organizer and finally move on to writing their own
- paragraph independently.
- The supports fade as their confidence and skill develop.
- In social studies,
- while teaching a unit on primary and secondary sources,
- students may initially need a checklist to analyze a
- historic document.
- Questions like who created this?
- When did they create it?
- What was the purpose?
- Working first with guided questions and then with small
- groups,
- they eventually learn to evaluate sources independently.
- As the supports are removed,
- they build the ability to think like historians.
- Teachers should also model and teach the growth mindset
- itself.
- Teachers can powerfully model a growth mindset when they
- openly share their own learning struggles,
- normalize mistakes, and demonstrate how revising,
- practicing, and trying new strategies lead to improvement.
- Instead of presenting themselves as effortlessly
- knowledgeable,
- teachers show students what real learning looks like.
- It's messy, it's iterative, it's full of adjustments.
- This helps students see that their challenges are not signs
- of failure,
- but opportunities for the brain to grow stronger.
- Carol Dweck's work demonstrates that when learners believe
- their abilities can be developed,
- they become more motivated, become more persistent,
- and more strategic.
- Key ingredients for academic success.
- Research even shows that students who adopt a growth
- mindset about math outperform peers who believe that
- mathematical ability is fixed.
- For instance,
- let's consider what a math teacher solving multi-step
- equation might say.
- I tried isolating the variable this way,
- but now the numbers don't balance.
- Instead of getting frustrated,
- I'm going to go look at the equation again and think about
- another strategy.
- Maybe I should just combine the like terms first.
- That usually makes things easier for me.
- If that doesn't work, I'll try drawing a model.
- Let's keep testing until we find a method that makes sense.
- This approach works because it normalizes mistakes,
- showing students that even experts make,
- but they also fix their errors,
- while also making the learning process visible rather than
- just presenting the final answer.
- As teachers think aloud, students witness the strategies,
- decisions, and revisions that lead to understanding,
- which helps them see that persistence is a natural part of
- problem solving.
- By narrating how they check their work, revise their steps,
- and try new approaches,
- teachers connect effort directly to growth and reinforce
- the idea that improvement comes from practice,
- not from innate ability.
- In doing so,
- they model a growth mindset using language that highlights
- ability as something that develops over time through
- deliberate effort.
- To close,
- let's consider the roles of intelligence and what takes
- place in your classroom.
- Intelligence,
- which includes the learner's ability to understand and
- succeed in science and other disciplines,
- is not a fixed trait that students either possess or lack.
- It's dynamic and it grows through challenge,
- well-timed support, persistence,
- and meaningful learning experiences.
- As an early-career teacher,
- you play a crucial role in shaping that growth by offering
- constructive feedback,
- designing appropriately challenging tasks,
- providing thoughtful scaffolding,
- and modeling a growth mindset in your daily interactions.
- When you intentionally apply these principles,
- you help all learners move beyond limiting beliefs,
- especially those who think they are not science people,
- and create a classroom environment where every student sees
- their potential to develop and improve.
- Thank you for listening.
- I hope that you become a regular follower of this podcast
- channel, and remember, as a new teacher,
- we are here to help.