# All Questions

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45 views

### Is copying working and explanation plagiarism in this context?

In my institution I have a friend who is part of this Math ambassadors club where they write blog posts and share them online at medium.com. However, there is an issue with my friends post.After they ...
33 views

### Are there exercises — with full solutions — on the Fence Post or Off by One error?

Which books contain practice questions — preferably with full solutions — to assist students with the Fence Post or Off by One error? None of my students heard of the name for this error before, ...
85 views

### Mental Health in Mathematics

I am not sure if my question is relative to this meta but I still want to put forth my thoughts and concerns and questions because I think its not just me but others too who have similar issues. My ...
55 views

### Problem solving approach to learning and psychology

I try to have a problem solving approach to learning math. What i mean by this is if someone sets some questions or problems regarding the material i am reading how should i answer or what questions ...
150 views

### How do you study subjects you're not that interested in

I'm an undergraduate who doesn't find analysis particularly interesting, but I'm taking a calculus on manifolds course next semester, so I'm reviewing measure and integration theory since my grasp on ...
98 views

226 views

### Preparing to be a linear-algebra teacher: Any tips/suggestions?

I'm engineer and I love linear-algebra. I finished a couple of days the Linear-Algebra on OpenCourseMIT to refresh my memory and I have been doing ton of exercises. I would like to teach to engineer ...
76 views

### Code for Urn (containing colored balls) generator? [duplicate]

I am interested in code that generates an urn with various colored balls for an economics experiment. I came across this thread: Urn (containing colored balls) generator? However, the server that the ...
4k views

### How to encourage young student to think in unusual ways?

I tutor a young girl aged 11 (grade 4). She is doing OK for her age, but I have observed that she has a tendency for rigid ways of thinking. She is usually more inclined to follow rules and stick to ...
228 views

### What's the best ratio for algebra tiles?

A good model for algebra are Algebra Tiles. See: https://calculate.org.au/wp-content/uploads/sites/15/2019/03/lesson-sequence-for-algebra-tiles.pdf In this presentation they recommend an aspect ratio ...
178 views

### Pro's and cons of number line model vs color counter model

Pro's and cons of number line model vs color counter model When teaching multiplication to elementary schoolers, the "number line model" and "color counter model" are both widely ...
3k views

### How do I explain the distributivity of multiplication to a student without using the analogy of areas?

I am tutoring a student who doesn't really understand how multiplication works or what distributivity is, I want to explain him how distributivity of multiplication over addition on an abstract level ...
184 views

### ELL textbooks for core university math?

Any references for core textbooks aimed at English language learners at the university level? I have need of them for: Calculus I-II-III, Linear Algebra, and Differential Equations. Most of my ...
204 views

### Is there such thing as a 1 kg "decimeter cube?"

Base 10 sets are readily available from educational suppliers and retail sites, as are the largest element in these sets, sometimes known as "decimeter cubes" (10 x 10 x 10 cm). The "...
156 views

### More advanced (free) alternatives to Geogebra and Math3D?

I teach vector calculus. I love both Math3D and Geogebra. But I have reached a limit in terms of what these programs can do. Some examples of features that I wish Math3D had: Draw vector fields with ...
558 views

### Advice on how to tutor a twelve year old that starts to cry?

I have a new math pupil. She is an emotional 12 year old girl who starts to cry when she doesn't understand something. Her father said she is sensitive. I was asked to do more praising and encouraging ...
110 views

### What are differences and the examples of syntactic knowlede and substantive knowledge in mathematics?

There is a distinction between substantive and syntactic knowledge particularly in mathematics. There are several definitions for both knowledge. However, what are the indicators and the examples of ...
97 views

### Are ‘constant difference’ and ‘common difference’ synonymous?

I’ve seen at least two phrases to describe a fixed difference between two numbers, i.e., “constant difference” and “common difference.” For example, if Sibling A is 10 years older than Sibling B today,...
591 views

To prove, e.g., the identity $(a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)^2$, I remembered working, in high school, in the following way. Expanding the LHS gives (a^2+b^2)(c^2+d^2)=a^2c^2+a^...
3k views

### Why is there a disconnect in the usage of "domain" between high school and higher mathematics, and where does it come from?

In high school (in the US, at least), it is common to define the domain of a function as the set of real numbers for which the function is well-defined and returns a real result. Then students are ...
200 views

### How do I get started as an online math tutor?

I have a master in math, teaching experience as a graduate student, TA experience and tons of in-person tutoring. I feel like a pretty prime candidate to be an online tutor. Can anyone give me some ...
60 views

### Where can I find the solutions manual to Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke?

I am planning to teach a course on Statistics using Beginning Statistics with Data Analysis by Mosteller, Fienberg and Rourke. On page xii of the book, the authors said "A solutions manual is ...
6k views

### How should I teach logarithms to high school students?

I have some very basic questions about how to teach the logarithm to high school students: First of all, is it better to introduce it as a function with a graph or is it better to treat it like a ...
61 views

### 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 ...
426 views

### How to balance between teaching to the standardized test vs understanding?

For people teaching high school standardized curriculums such as AP, IB, or A-Levels, how do you find the balance between preparing students for the standardized test compared to ensuring they ...
112 views

### Line segments on a geoboard

To make a polygon on a traditional geoboard, one usually stretches a rubber band around the vertices. No problem there. When making a simple line segment, however, a rubber band is typically stretched ...
221 views

### Average Cost to Velocity Analogy

In my Business Calculus class (U.S. college-level), we discuss three aspects of cost: Total Cost $C(q)$, Marginal Cost $MC(q)$, and Average Cost $A(q)$ where $q$ is quantity produced. The defining ...