The five learning principles and theories that support the math curriculum framework are constructivism, sociocultural theory, cognitive load theory, multiple intelligences theory, and growth mindset theory.
Extensive response
The math curriculum framework is supported by five learning principles and theories, including constructivism, sociocultural theory, cognitive load theory, multiple intelligences theory, and growth mindset theory.
Constructivism suggests that learners construct their own understanding of concepts and ideas. “Deeper learning involves going beyond the mere transmission of facts to the development of meaning and understanding” (Jonassen, 1997). In the context of math education, this means that learners must engage with mathematical concepts and ideas to truly understand them.
Sociocultural theory emphasizes the importance of social and cultural factors in learning. “Learning and development are mediated by cultural tools and artifacts in social interactions with knowledgeable others” (Vygotsky, 1978). Students in math classrooms may benefit from working in groups and sharing their ideas with one another.
Cognitive load theory suggests that learners can only process a limited amount of information at a time. Teachers can help students manage their cognitive load by reducing extraneous information and providing clear and concise explanations.
Multiple intelligences theory proposes that there are many different ways of being intelligent, and teachers should design learning experiences that account for these differences. A math lesson that appeals to different learning styles might involve listening to a song about multiplication tables, drawing visual representations of math concepts, or engaging in a kinesthetic activity.
Growth mindset theory suggests that intelligence can be developed over time through hard work and effort. “When students believe that intelligence is something that can be developed, they have a growth mindset” (Dweck, 2006). Teachers can promote a growth mindset in math classrooms by emphasizing effort and persistence, rather than innate talent.
Overall, these five learning principles and theories can help teachers create engaging and effective math instruction.
| Principle/Theory | Description | Example in Math Education |
|---|---|---|
| Constructivism | Learners construct their own understanding of concepts | Students solve real-world math problems to develop their own understanding |
| Sociocultural theory | Social and cultural factors play a role in learning | Students work in groups to discuss their mathematical reasoning |
| Cognitive load theory | Learners can process a limited amount of information | Teachers reduce extraneous information to prevent overload |
| Multiple intelligences theory | There are many ways of being intelligent | Teachers design lessons that appeal to different learning styles |
| Growth mindset theory | Intelligence can be developed over time | Teachers encourage effort and persistence, rather than innate talent |
Overall, math education benefits from drawing on a variety of learning principles and theories to create a comprehensive and engaging curriculum. As Albert Einstein once said, “Pure mathematics is, in its way, the poetry of logical ideas.” Understanding these principles and theories can help educators encourage students to appreciate the beauty and logic of math.
Interesting facts on math education:
- A 2016 study by the National Science Foundation found that although many students are interested in STEM fields, they often struggle with math and science in school.
- The Common Core State Standards, which have been adopted by many states in the United States, place an increased emphasis on conceptual understanding and problem-solving skills in math education.
- Research has shown that active learning strategies, such as collaborative problem-solving and peer instruction, can improve math learning outcomes.
See the answer to “What are the 5 learning principles and theories that support the math curriculum framework?” in this video
The video “THEORIES OF LEARNING: BEHAVIORISM, COGNITIVISM, & CONSTRUCTIVISM” explains the three main theories of learning: behaviorism, cognitivism, and constructivism. Behaviorism suggests that learners learn best through repetition and reinforcement, while cognitivism suggests that learners learn best if the lesson is created in a meaningful and memorable way. Constructivism serves as a mediator between the two and suggests that learners actively construct their own understanding of reality through interaction with the environment. The video emphasizes the importance of understanding these theories to create effective teaching strategies that focus on the needs and aptitudes of students.
More intriguing questions on the topic
Accordingly, What are the 5 principles of teaching mathematics?
In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration.
What are the learning principles and theories in teaching mathematics? This could be attributed to the methods of instruction used. As a result, maths teaching methods must be reconsidered in light of the these three major learning theories: behaviourism, cognitivism, and constructivism.
Also Know, What are the 5 components covered in the maths curriculum?
The answer is: The curriculum covers five content areas at the primary level: Number; Shape and Space; Measurement; Data Handling; and Algebra.
Beside above, Which of the following learning principles and theories support the conceptual framework of mathematics?
The framework is supported by the following underlying learning principles and theories: Experiential and Situated Learning, Reflective Learning, Constructivism, Cooperative Learning and Discovery and Inquiry-based Learning. The mathematics curriculum is grounded in these theories.
What are the teaching principles in mathematics?
As a response to this: 13. Teaching Principles in Mathematics • Principle 8: Technology plays an important role in the teaching and learning of mathematics. Mathematics teachers must learn to use and manage technological tools and resources well. • Principle 9: Mathematics teachers must never stop learning.
Just so, What are the 5 learning theories?
In reply to that: There are five primary educational learning theories: behaviorism, cognitive, constructivism, humanism, and connectivism. Additional learning theories include transformative, social, and experiential.
Then, What makes a good mathematics curriculum?
As a response to this: Curriculum. A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades Teaching. Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well. Learning.
Also Know, What are the 8 mathematics teaching practices?
In reply to that: This article highlights three of the eight Mathematics Teaching Practices (MTP) published in NCTM’s Principles to Actions: Ensuring Mathematical Success for All (2014, p. 10): facilitating meaningful mathematical discourse (MTP 4), posing purposeful questions (MTP 5), and eliciting and using evidence of student thinking (MTP 8).
Besides, What are the teaching principles in mathematics? Answer to this: 13. Teaching Principles in Mathematics • Principle 8: Technology plays an important role in the teaching and learning of mathematics. Mathematics teachers must learn to use and manage technological tools and resources well. • Principle 9: Mathematics teachers must never stop learning.
Similarly, What are the 5 learning theories? There are five primary educational learning theories: behaviorism, cognitive, constructivism, humanism, and connectivism. Additional learning theories include transformative, social, and experiential.
Similarly one may ask, What makes a good mathematics curriculum?
Curriculum. A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades Teaching. Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well. Learning.
Additionally, What is a mathematics framework? The framework helps you to think about the breadth of your mathematics and statistics programme and provides a way to check that you are planning for a comprehensive coverage of the learning area. The mathematics framework prompts you to consider what to notice as you think about how well a student is progressing in mathematics and statistics.