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My two cents looking at the third article and the topic in general is that this is like the worship wars in churches. Worship wars refers to those who want contemporary worship (contemporary music style, simple liturgy, very relaxed atmosphere) and those who want traditional worship (old hymns, use the Psalms as liturgy, formal) and then those who argue for blended worship (taking things from both). The math pedagogy war is the same thing... with respect to a constructivist approach as the contemporary move and rote memorization kinds of things as the traditional math. The article lists advantages and disadvantages to the new math, which suggests that perhaps we should blend the best of both. One disadvantage of the new math is how it is much more complex. The article lists resources to help because of this.

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Room 2

"New" math seems to have un-necessary steps and can take a bit more time. With the new math most parents learned the standard algorithm that was just the old math so these parents are having to re learn math if their kids need help on homework.

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Constructivists value active learning, where students can build their own understanding.

Those who oppose constructivism argue that a stronger focus on foundational skills is necessary for understanding mathematics.

Research suggests a blend of both approaches for comprehensive math education.

Striking a balance between conceptual understanding and procedural mastery is necessary.

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Group 1: Older math focused more on being able to computation to understanding, from teacher-directed to student-directed learning, and from sequenced instruction along a hierarchy of skills to simultaneous instruction in all strands of mathematical competence, reformers generated a recipe for poor preparation of students for mathematically challenging content.

New math for common core Common Core Math was introduced to provide high school students with the right set of mathematics skills required in post-secondary education and professional development.

1. Improve math test scores for all mathematics students and develop an improved conceptual understanding.

2. Students are learning everything in detail

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Traditional "old math" emphasizes foundational skills, structured learning, and efficiency through sequential instruction. Conversely, "new math" fosters deep conceptual understanding, real-life application, and critical thinking by encouraging independent exploration and problem-solving, boosting motivation and engagement. Integrating these methods can create a blended learning environment that combines direct instruction with exploratory activities, tailoring teaching strategies to diverse student needs and enhancing both basic and advanced mathematical understanding.

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An issue with new math is that parents do not know how to best support their child when solving the problems, there needs to be a way to better engage parents in this shift so they can be a better support for carry over of these skills at home

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I think that it is interesting that the math wars have not been solved after 30 years. There is still much research to do in order to prove with version of math is more effective. In my school we use a new math framework that especially focuses on real world applications and is more student focused through instruction.

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1. The benefits of "old math" lie in its emphasis on procedural proficiency and familiarity, while "new math" prioritizes conceptual understanding and critical thinking; a combination could offer a holistic approach, balancing procedural fluency with deeper learning.

2. In my school, we primarily use a combination of traditional methods and Common Core Math, incorporating elements of both to provide students with a well-rounded mathematical education.

3. The Math Pedagogy Wars reflect ongoing debates in education, highlighting the importance of considering diverse approaches to teaching mathematics and prioritizing student learning outcomes over ideological differences.

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Older math focused on computation while new math focuses on real world application. The benefit to both is that they can work off of each other to create a deep understanding of the content.

With the math in my school, I see students relating to real world application of problems. I also see them using different techniques to work on fact fluency and memorization of certain skills.

The math pedagogy war is very interesting because each pedagogy has its benefits, it does not need to be one or the other.

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Group 6:

The traditional method of teaching math, also known as "old math," typically focuses on teaching students how to solve problems through memorization of formulas and algorithms. In contrast, the modern approach, or "new math," prioritizes developing a deep understanding of mathematical concepts and their practical applications in the real world.

A combination of both approaches can be beneficial for students, as it provides them with a well-rounded set of skills that includes computational proficiency, critical thinking, and problem-solving abilities. This hybrid approach can better prepare students for higher education and future careers, as it equips them with the tools they need to succeed in a rapidly evolving world.

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Article A

Benefits of "Old Math" vs. "New Math":

- "Old Math" focuses on direct instruction of facts, procedures, and computational fluency - provides strong foundational skills and structured learning.

- "New Math" emphasizes conceptual understanding, real-world applications, and student-directed discovery - develops deeper reasoning and sense-making.

Potential Benefits of a Combination:

- Blending elements of both approaches could offer the advantages of a solid skills foundation and robust conceptual understanding.

Observations on Math Pedagogy in Schools:

- Most schools use a mix, with some focus on basics but also more problem-solving, applications, and student-centered activities.

- The balance can vary considerably between different schools and teachers.