Unanswered Questions
51 questions with no upvoted or accepted answers
8
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Are there standard questions for testing how an instructor grades calculus?
My institution is now in the process of "standardizing" our calculus classes. One issue we have is the variation among instructors in grading problems. I am interested if there are ways to objectively ...
8
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0
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313
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Compare depth and scope of math syllabus between Malaysia's STPM, Gao Kao and A level
Are the math syllabi of these three exams comparable? Which syllabus' scope is wider and deeper? Which helps students to be better prepared for math in undergraduate level?
I believe that A level is ...
8
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0
answers
121
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3-D printing of formulas encoded in LaTex for the visually impaired?
There is software available on the Net for 3-D printing of math expressions encoded in LaTex. What such technology is available off-the-shelf for the visually impaired to learn mathematics? And, ...
8
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0
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294
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What else we miss?
Context:
Some time ago there was a post on a brief study conducted by Alexis Wiggins (she was shadowing two students for two days), you can find it here, which got quite an attention. One interesting ...
8
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330
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Guided Lecture Notes for Calculus
Last semester I taught Linear Algebra using the standard textbook of Lay. Online one can find nice "class handouts" that serve very well as lecture notes for students to follow along with during class....
7
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214
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How to recognize possible dyscalculia in a student?
I am looking for input/advice regarding whether a student I just began tutoring may have dyscalculia - and, if so, how to go about broaching the subject / assisting them as best as possible.
I'd ...
6
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0
answers
118
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Is there ADA-compliance certification for mathematics text books?
What factors are there to consider when adopting a text as far as ADA (Americans with Disabilities Act) is concerned? Is there a certification? What do you look for in the digital version of the text? ...
6
votes
0
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116
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Maximize retention
I tutor high school math students. Students often struggle with a problem they had completed few months prior. Like any skill, it's natural to forget what you learned after a while.
As high school ...
6
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219
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Are there measurements of how much mathematics people remember after high-school?
These days I got curious about something: Are there measurements of how much mathematics people remember after high-school?
6
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78
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Support modelling cycle through differentiated means
I plan to work with my students on solving real-world problems through modelling them. Now it is my idea to follow the modelling cycle below.
The idea is to find with the help of two values that have ...
6
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0
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192
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Which calculus textbook is aligned the most with the CollegeBoard course description?
The CollegeBoard website lists many AP calculus BC references.
But it also mentions that "The materials on this List range in alignment from 59% to 100%."
So, which of them is aligned the most with ...
5
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answers
206
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Montessori mathematics for HS/college students
My children attend a Montessori school (as did I when I was a child), and I have visited several other Montessori schools and spoken with their teachers. Numerous times I've had Montessori teachers ...
5
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98
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Resources for teaching algebraic fractions to a dyscalculic pupil
I have a new student in math class (high school) since last month, and she's being diagnosed with dyslexia and dyscalculia. We are about to go into conic sections and she should be able to do some ...
5
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0
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222
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SMSG Calculus Usage?
Did anyone out there have experience with SMSG's Calculus text? Our school system (Amherst, MA) used SMSG texts from my 6th grade class onward. But for HS Calculus (1969) we didn't use the two-part ...
5
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0
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114
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the role of context in mathematical discussions of units and measurement in web design
Knowing that pedagogy for each age group is different, I will say right off the bat I am talking about working adults.
I am noticing more and more, that despite people's phobias about math, they are ...
4
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1
answer
317
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How can a church or other non-academic institution find and hire math teachers?
We'd like to set up a remedial math program in our church. To do so, we would need to hire at least two teachers who could design courses in middle school and high school math, and teach them.
I'm a ...
4
votes
0
answers
138
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When can students understand the intersection of two circles?
I'm interested in learning two transitions:
(1) When can students reason (intuitively, but accurately) to conclude that two circles in the plane
could intersect in $0$, $1$, or $2$ points, or are ...
4
votes
0
answers
793
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What are your experiences with Buck’s Advanced Calculus?
I stumbled across the book when searching for rigorous alternatives to Rudin with some solutions. It’s an “old school” (1965) calculus text but, I think, covers similar material to Rudin in a more ...
4
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268
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Is There Such Thing as Reaching Half a Standard?
I like the Common Core State Standards for Math as they focus on objectives that students need to reach. However, some standards have way too many parts for them.
For instance, the standard CCSS.MATH....
4
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0
answers
165
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Explaining the algebra behind a problem in computer geography
For work, I tend to have to explain quantitative ideas to people with only some informal computer science training.
Yesterday, my friend wanted to draw a map on his computer and was concerned we ...
3
votes
0
answers
83
views
Material and textbooks for CLIL learners
I have a quite broad questions. I'm a math teacher in Switzerland (high school level, school year 9-12). We teach following topics (among others): quadratic equations, quadratic functions, system of ...
3
votes
0
answers
157
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When to use row or column vectors in points and translations
A course that my kids are doing in conic sections insists that all positions are represented as standard 2D cartesian coordinates $(x,y)$ (i.e. row vectors), and all translations are written as 2D ...
3
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0
answers
80
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Interdisciplinary Calculus and Statistics Texts for Advanced Secondary Students
I'm planning some interdisciplinary options for future students at a small independent school to be implemented in the next few years. The courses would be offered as independent studies and students ...
3
votes
0
answers
83
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Student input in secondary teacher evaluations
this is something I have been wondering about for a while now. In my school district (urban setting in Pennsylvania) student input amounts to exactly 0% of the final assessment for observed teachers. ...
2
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62
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Math textbook for secondary school using Logo like language
What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
2
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0
answers
124
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Generating exercises about extrema of $f(x,y)$
(I have asked this question on math.stackexchange.com and according to a suggestion from comments I am re-asking it here.)
I can generate many examples of functions $f(x,y)$
for which finding local ...
2
votes
0
answers
73
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Search for educational articles
I am looking for articles in French preferably (or in English otherwise, but my english is bad..) on the following topics:
study of assessments made in class after a problem;
phase of conclusion of a ...
2
votes
0
answers
95
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Math websites/apps for high school students
I am undergraduate math student who is interested in being a high school math teacher. I have been given an assignment to present to my class (for a total of about 20 minutes) a teaching tool or a ...
2
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0
answers
219
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why don't we do labs in/for math?
(this is in the US and at a high school level)
why don't we dedicate a day of the week each week to do a lab for math for exploration? I mean we already do that for Earth Science, Physics, Chemistry ...
2
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0
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417
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a theorem to simplify continuity in Stewart's calculus: early transcendentals
I'm covering section 2.5 of Stewart (on continuity) and stewarts treatment seems needlessly complicated. It seems like the following theorem would streamline a lot of it:
If $f(x)$ and $g(x)$ are ...
2
votes
0
answers
73
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Reference for study about good teachers in a US state
Several years ago I have read about a study in a US state where standard test scores were used to identify teachers whose students consistently improved far above the average and then film and analyse ...
2
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0
answers
56
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App to show exercises solved by students in real time
I'm looking for an app that can be used when the teacher gives a set of exercises to his class to show for each exercise how many students solved it, how many students tried to solve it, etc. The ...
2
votes
0
answers
99
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what is the standard subdivision or classification of calculus related rates problems?
I am working on a project where I have to group/classify calculus problems. Now with most the calculus topics, it's usually obvious how it's divided in various textbooks, but when it comes to related ...
2
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0
answers
73
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Request for IBL Script for Putnam-type Problem Solving Course
One of the major benefits of a good IBL script is that it effectively organizes the experience of students so that their effort does not need to be used on such organization. A good script leads from ...
2
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0
answers
56
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Lancasterian/Monitorial system at a secondary level?
While getting stuff ready for the soon-to-be-here school year, I came across Joe Lancaster and the Monitorial system, where older students who have mastered certain content areas are charged with ...
1
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0
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136
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1st time math teacher 1st test feedback appreciated
I'm not a math teacher but I've stepped into the role to assist a small private school who lost their math teacher during the holidays (I'm a mechanical engineer by trade). The course is Algebra 1 (...
1
vote
0
answers
104
views
simpson paradox in classroom: reports?
he Simpson's Paradox is a statistical phenomenon in which a trend or relationship observed within a dataset disappears or reverses when the dataset is divided into smaller groups. It occurs when a ...
1
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0
answers
126
views
Quality of a solution in mathematics
How can you determine a quality of a solution for a mathematics problem in general ?
If you try to explain too much then solution becomes bit longer and it takes time to go through causing less ...
1
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0
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126
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What do you use to make your course materials?
I'm a second year teacher teaching Precal for the first time.
I have a few textbooks, but the problem is that my school does not (and will never) have class sets of any of them for students to use.
To ...
1
vote
0
answers
102
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Symmetry of mathematical expressions in problem solving
**How would you use symmetry of mathematical expressions in problem solving in order to save time by minimizing simplifications?
This is not related to geometrical symmetry which is very much ...
1
vote
0
answers
65
views
What are different Mathematical concepts which can be introduced to 12-16 year students in an activity based way
Activities are a great way to engage students with Mathematics. And that also helps them to visualise mathematical facts. For example, Pi in its decimal form appears to have no pattern (we used to say)...
1
vote
0
answers
75
views
History of business calculus/linear algebra curriculum
I will be teaching a combination of business calculus and business linear algebra, two classes that have been around awhile at my school. I’m assuming people are familiar with these types of classes. ...
1
vote
0
answers
226
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Would the SMSG textbooks provide adequate extracurricular study?
Context: I'm a Grade 11 IBDP student and very fond of math. Assuming that I get the spare time to self-study material alongside the syllabus, I wish to spend it constructively (the only step I've ...
1
vote
0
answers
115
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How to teach year 3 undergraduate courses to high school students?
I see on the webpage of a high school math summer program, SuMac, that they will cover some algebraic topology in a period of several weeks. And they covered every aspect of this subject, including ...
1
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0
answers
205
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What are teachers' expectations on private tutoring in secondary education?
By "tutoring", I mean when parents hire someone to help their child one-on-one. I am referring to secondary education.
This "help" can take many forms, some of which are:
Re-teaching concepts that ...
1
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0
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85
views
How to introduce trigonometric ratios (HS) through a cognitive model?
I'm teaching a precalculus course and also taking a class on how to teach mathematics constructing a specific cognitive model for different topics. So, I have this assignment to build a cognitive ...
0
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0
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64
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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 ...
0
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0
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87
views
Resources to introduce Modular arithmetic
We have Clock arithmetic in grades 5 , 6 and thereafter nothing related to the Modular arithmetic is taught until students enter to the universities. Since this is very important topic in Number ...
0
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42
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Apps to make mathematics much interesting by sharing creative ideas with others
I think proofs without words is much important topic when we want to improve students interest in subject using their skills other than in mathematics. Recently I could able to find that kind of proof ...
0
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118
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Infinite descent method
We have plenty of examples in mathematical induction for advanced level mathematics students. Can we introduce infinite descent method as extremely opposite approach to mathematical induction and is ...