Questions tagged [curriculum]
For questions about contents, order, background, alternatives in curricula.
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What are signs your high school algebra II (arithmetic) course plan focuses heavily on the first half and neglects depth in the second half?
What are signs your algebra II course plan focuses heavily on the first half and skimmed the second half?
I'm trying to figure out whether I'm going evenly.
I'm trying to figure out whether students ...
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Assigning a semi-independent project for current math I students to learn a topic in Math II overlap with math I, and teach a math II class, how to?
How can I foster a growth mindset and sense of belonging to the intellectual realm among Algebra II students by having them undertake a semi-independent project where they learn to teach an ...
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Book or curriculum for teaching base-16 numeral system to elementary, middle, or high school children?
In 1862, John W. Nystrom promoted the base-16 (hexadecimal) number system, which he called the "tonal system": Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to ...
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Dominance of connectives: Why do we teach this?
These were two actual exercises given to students I have been tutoring for a college algebra class:
I have been working very hard to convince my students of the importance and utility of learning ...
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Please identify this American elementary textbook series from the 1950s
I'm reading a book chapter (written in 1992) about the teaching of mental arithmetic and estimation techniques in elementary school. The author refers to a particular series of books as "Out-of-...
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Topics covered in Calculus I and II (university level) that aren't covered in the AP Curriculum
I teach AP Calculus BC at my high school and we have AP Calculus AB as a pre-req for taking BC. So most of my students are coming in with a strong calculus foundation, and I can spend less time on the ...
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Impact of GPT4 and future AI development on math curricula in schools
At least since pocket calculators were available there is an ongoing debate in math education of how meaningfull it is to continue to teach students how to calculations only using a paper and pencil. ...
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Math curricula\programs or any experience using "The Road to Reality" as the\a primary textbook
Primarily a reference request, collaborator search-tips requests, and question-improvement request (including improveent by deletion and re-posting to more appropriate stack, meta, wiki, etc). Rank ...
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English version of the "Spécialité Mathématiques" French baccalaureate course (for a Ukrainian refugee)?
The highschool where I'm teaching welcomes a Ukrainian refugee who is in "classe Terminale" (ultimate highschool grade in France).
The math teacher who has this student in charge is not that ...
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How does the average level of expected mathematical sophistication at high school level increase?
I remember reading an old calculus book (years 1920-1930) and in the preface it was portrayed as revolutionary because it was for high school students. Nowadays, that is not revolutionary, because ...
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What are examples of math-themed sci-fi appropriate for students?
What are examples of sci-fi books or short stories that have a mathematics theme? I'd like to have a pool of examples in mind that I could refer students to. The only example I've got in mind right ...
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Is the AC Method of Factoring polynomials more popular and used by teachers than others methods of factoring polynomials?
This is an example of the AC Method:
$ x^2 + 16x +63 $
(1) $x² + 7x$ (2) $9x + 63$
(1) $x(x + 7)$ (2) $9(x + 7)$
so we have:
$x(x + 7)+ 9(x + 7)$
(1) with (2) The Result is:
$ (x+9)(x+7) $
I have more ...
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Looking for a rigorous middle school self-study math course
My son is in 5th grade (US) and since he is doing remote learning, we have been doing a lot of topics in pre-algebra just using worksheets. I'd like to start him on a formal middle school curriculum, ...
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What is the motivation for teaching Factoring by Grouping?
This seems like such a niche trick to teach students when factoring polynomials. Like, the polynomials I've seen textbooks ask students to factor by grouping seem so cherry picked that I can't imagine ...
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Can we skip Newton's Method?
I am teaching an introductory calculus course for high school juniors and seniors. It is not formally described as an AP Calculus course, but it is supposed to map roughly onto Calculus AB.
The ...
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Why are "homogeneous differential equations" in the standard ODE curriculum?
Here I mean a differential equation of the form $y'=f(x,y)$ where for some $\alpha$, we have $f(tx,ty)=t^\alpha f(x,y)$ for every $t$. I have no idea why this topic seems to appear in every ODE ...
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Is there an arithmetic book similar to “Teach Your Child to Read in 100 Easy Lessons” by Siegfried Engelmann?
I have found Engelmann’s book (mentioned in subject) to be extremely effective. Is there an equivalent to this book for teaching Arithmetic? I believe the overall approach or method is called Direct ...
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Curriculum in USA vs. Canada
(1) When do students in Canada learn about the four triangle centres (centers), circumcenter, incenter, orthocenter, and centroid? In the USA (more precisely, Indiana), the math curriculums are by ...
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Content for a 40-minute lecture on graph theory for high schoolers
I'm due to deliver a session on graph theory for 16–17-year old students (UK sixth formers) as a taster of what studying mathematics at university is like. What would you recommend as content, and a '...
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Should LaTeX be taught in high school? [closed]
This semester, I was forced to learn LaTeX for my Real Analysis class. The professor wanted all homework assignments to be typed in LaTeX in order to produce "high-quality" work. At first I was ...
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Teaching Quantifiers Before Logical Connectives
In this short question, I would like to ask whether it is possibly good to teach quantifier before logical connectives in a logic introduction lecture?
I know there is a relationship between them but ...
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What is the controversial 8th grade algebra mentioned on this answer?
An answer on this site mentions that it would be more appropriate to criticize
Efforts to force kids to take algebra at lower and lower ages, such as attempts in California to make all kids take ...
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Why is learning mathematics compulsory?
In most education systems, Mathematics is a compulsory subject from primary school all the way to the start of university. A common reason given is that essential concepts like addition and ...
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Math undergrad courses [closed]
Awhile back I was very weak with my trigonometry so I came to this site asking for help, and it turned out the few answers I got made a huge difference. I excelled at the trigonometry section in my ...
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How should I introduce the Chain Rule
I'm halfway through my first year of teaching AP Calculus to high school seniors. It's been going generally well, but I'm feeling like I really could have done better getting them into the Chain Rule....
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Co-curricular lessons between geometry and chemistry?
My school is hyped about the promise of co-curricular education and they are giving the math and science teachers paid days off to develop lesson plans that synergize our learning goals. I'm on ...
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When (and why) did geometric means of more than two numbers exit the secondary curriculum?
In contemporary US secondary mathematics textbooks, geometric means occasionally make a brief appearance. For example:
In Geometry, students learn that when an altitude is dropped to the hypotenuse ...
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Should school syllabus include chapters partially?
In my locality, many schools have this tendency to partially include this and that chapter in the syllabus (for almost every subject). For example, (most of the chapters are subdivided in two or more ...
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Is there a more telling name for "Calculus 2"?
I see a lot of places where "Calculus 1" is referred to as "Introduction to Calculus", or "Single-variable Calculus." "Calculus 3" is referred to as "Multiple-variable calculus."
Is there an ...
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Forming a Study Model for a Self-Study Beginner
I am very new to this platform so I may have misunderstood the intent of this site, or might seem a bit off, but please bear with me because I know what I want for certain.
I always wanted to study ...
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What are the benefits of an expertly curated learning pathway?
What are the benefits of an expertly curated learning pathway?
Like that provided by a major publisher's textbook - CPM, a school district's mandated curriculum - IM's Open Up Resources or a ...
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Roadmap to studying PDEs for analyzing Quantum Physics better
I am studying the basics of Quantum Physics (involving the characteristics of Schrodinger's Wave equation without actually analyzing it rigorously mathematically) this semester. I was wondering, ...
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Is the education system in Finland particularly good?
Inspired by this question: What makes education in Finland so good?
Finland has marketed itself as a top country in education. Indeed, at some time, the Pisa results in Finland were quite good. ...
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Integrated math curriculum in different countries
One of the selling points of re-hashed American 1990s high school math programs is that they are "integrated", that is, combine algebra, geometry, statistics, trigonometry just like the European ...
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Which countries adopt metacognition in their official math curricula?
I know Singapore and Brazil explicitly adopt metacognition as one of their maths curricular pillars.
The relevance of metacognition is recognized by OECD that has written a state-of-the-art report ...
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Why do standard geometry textbooks not start with trigonometry?
Throughout my geometry course, I was given many theorems and postulates, which I was were expected to memorize and apply. At the time, I sorta went along with it, but I couldn’t help but wonder where ...
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At what point in the curriculum should the tensor product be introduced?
I remember my linear algebra teacher mentioning tensor products as an advanced topic that would be covered in upper level algebra coursework. During undergraduate abstract algebra, tensor products ...
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The royal road to calculus
In the early 1900s Felix Klein lay out his vision for secondary mathematics curriculum. He wanted schools to teach calculus, so that universities would not be burdened by it. And at the core of the ...
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Mainstreaming math student
I'm working one-on-one with a student who is part of a sponsored refugee family. He's bright and a good learner, but has had a lot of interruptions to his education. No indication of any learning ...
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In what grade do kids (New York, US) learn common differences?
I'm teaching an after school workshop for a few 7th graders. I was having them try to predict the next item in a complicated sequence. After some failed attempts, one of the kids started analyzing the ...
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Are there any studies evaluating the impact of the Mathematics Vision Project?
I have found very little online that compares & critiques the MVP vs traditional
curricula. Any suggestions & pointers would be welcomed.
The MVP is an implementation of Common Core Standards ...
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Should students teach other students?
I am interested in creating a curriculum that helps cultivate students abilities to teach one another. Specifically good one-on-one instruction includes elements like:
Examples,
Pictures,
Humor,
...
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Associate Degree in Mathematics
A close friend of mine is investigating Associate Degrees in Mathematics with the goal of assessing the plausibility of offering an online A.A.S. at a US institution. I'm curious if anyone here has ...
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Proving basic Theorems and properties in high school [closed]
Why high school teachers do not emphasize knowing the proofs of properties and theorems in math. In my 40 years of teaching prospective high school teachers, I rarely found students who can derive ...
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When a geometrical figure a special case of another [closed]
Squares are special types of rectangles.
Are circles special types of ellipses/ovals?
Are cones special types of pyramids? I guess the answer is no because of the 2D basis: circles are not special ...
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Are kindergartners supposed to be steered from squares being rectangles?
Question 1: What are the literature, status, debates, references, etc regarding this matter please?
Apparently, some (woohoo weasel words!) consider that squares are rectangles too advanced a topic ...
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In what curricula are "rectangles" defined so as to exclude squares?
Most contemporary curricula define the word "rectangle" inclusively, so that all squares are automatically rectangles. Are there curricula in which this convention is not followed? That is,...
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Why is polynomial factorization over the integers part of secondary school curricula?
By "polynomial factorization over the integers", I mean problems and solutions like the following:
Problem:
Find a factorization into irreducible polynomials for
$24x^2 +x - 10$ and
...
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How do I work in creating education standards?
I'm interested in playing a role in determining mathematics curriculum and goals for K-12 students. I'm currently a college student. How do I even begin down this path? Math? Political Science? ...
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Why is set theory not taught at the outset of math education?
A beginner in math, reading Badiou, I found the following quote on set theory in Being and Event:
The axiomatization consists in fixing the usage of the relation of belonging, $\in$, to which the ...
Ken