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Assessment questions ask how to properly, effectively, and efficiently ascertain the abilities of students. This doesn't necessarily involve numerical grades, but rather is focused on an overall characterization of knowledge/ability.

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Evaluation and feedback using Optical Mark Recognition systems in secondary school

OMR in exit tickets I plan to use an OMR, Optical Mark Recognition systems at the end of (some of) my classes. I want to use the same OMR system for exit tickets scattered over the academic year (...
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0answers
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Interpreting differences of score-distribution between two questions [closed]

The scores distribution of the first question match with the bell-shape of a normal curve The scores distribution of the second question has no bell shape with almost an even number of students at ...
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0answers
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Is the annual system still in vogue anywhere in Europe, North America, Australia, or East Asia? And what about the 2-year B.A. / B.Sc. degree?

In Pakistan, we have until now had 2-year B.A./B.Sc. and 2-year M.A./M.Sc. university degrees after our 12th grade F.A./F.Sc. qualifications. Thus the former was a 14-year academic qualification, ...
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5answers
210 views

Mathematics exam — How to keep brain functioning through a four-hour exam?

So my question isn't directly related to math, but I think you might be able to help me. I'm a 17 year old, last year at school. My class specializes in math/physics (that's our educational system in ...
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3answers
661 views

Teaching undergraduates who expect a high-school-like learning environment

tl;dr: Some students expect to be told "what's on the test", to memorize and then move on. What can be done to change how they learn while teaching them what to learn? Context: Introductory, ...
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2answers
118 views

Cognitive demands of a mathematical task

I'm looking for a theoretical framework to classify a task based on its cognitive demand. I only have the Smith and Stein's (1998) proposal and PISA framework such as my principal references. In ...
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4answers
266 views

How to design multiple choice questions

I've seen the previously-asked questions about the effectiveness of multiple choice problems, but I want to know about design. What are best practices in multiple choice problem design? The "common" ...
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1answer
208 views

how to prove my 6th grade son knows algebra 1?

My son is taking pre-algebra in 6th grade. He mastered algebra 1 in detail more than what school can teach. How to prove to school that he mastered Algebra 1? He wants to start Algebra 2 in 7th grade. ...
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4answers
615 views

The Undergraduate Responsibility Gradient

We tell undergraduate students that they should study two to three hours for every hour they spend in class. We know that many students don't follow through with this nearly to the degree that they ...
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1answer
284 views

Test of level of a student for secondary school

I am looking for a test, paper based, execution time less than one hour, for an initial assessment of the math knowledge level of a secondary school student. I need to evaluate, very approximately, ...
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1answer
341 views

Problem with “Calculated Formula” question in blackboard online test

I received the error message "Question Syntax. There is an error in the syntax of this question. One or more variables may be invalid." when I tried to make the following question: Compute $\|\langle ...
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2answers
376 views

Separating the roles of “teacher” and “assessor”

Teachers at the university level (at least what I've seen in the US) are responsible for both teaching students the material for a course, and assessing the students' understanding of the course ...
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2answers
111 views

What do you look for in a student presentation?

Context: I am teaching a course on plane geomtery at an mid-size state University in the USA for students who wish to be high school math teachers. They will have to make presentations once per week, ...
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1answer
343 views

Effectiveness of multiple-choice versus short answer questions

I want to know if there is any research on whether students' learn better by answering selected response (multiple choice) questions than constructed response (written) questions. My gut feeling is ...
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2answers
197 views

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)?

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)? This question is open to all education levels. What is your ...
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1answer
74 views

Assessing the level of students in a class

Recently I've moved to another university and next semester I will have my first class there. The problem is that I don't know the level of the students that will be attending my class. Of course, I'...
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7answers
938 views

How to solve the problem of Wolfram Alpha?

I teach to predominantly non-majors in college algebra, precalculus, and calculus. How can one possibly incentivize or rationalize assigning practice problems outside of class when this software is ...
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3answers
110 views

Instructions for a problem set

These are my instructions for a problem set that I am giving for a Math 60 (Intro Algebra) class at a community college. What do you think? Are they clear? What would you add or subtract? These ...
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4answers
212 views

Teaching arithmetic operations ($+ - \times \div$) to a 3 year old

What is the best way to teach the standard arithmetic operations ($+ - \times \div$) to a 3 year old child? Also: How we do know if the child has really understood it? can a kid be 3 years old ...
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3answers
1k views

Questions for Oral Examination in Mathematics

I am working on some research on implementation of oral assessment in mathematics classroom, and I was wondering are there any questions/problems/concepts in mathematics that can be only assessed ...
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5answers
294 views

Can homework play a substantial role in the assessment of understanding in university math?

Ideally, I'd like my students' grades to be based on more than just exams, because I think that certain tasks, such as writing proofs, aren't best performed in a test environment. Using homework for ...
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4answers
207 views

How to assess an undergraduate mathematics program?

Our university and department, like most, are required to "assess" our program annually. In the past our department has done this by e.g. picking one of the learning outcomes for our program and a ...
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2answers
167 views

What happens when the state mandates college math placement policies?

The state of Illinois is currently considering a bill to mandate that all public institutions accept a score of 3 on every Advanced Placement exam. Bill here. The lobbyists in favor of the bill claim ...
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2answers
187 views

How can you determine the quality of your teaching, or someone else's?

The question in the title is immensely subjective and broad, and so I would like to narrow it to an answerable question: What measures are in common use by administrators and researchers in ...
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1answer
682 views

elementary level assessment tools

I'm looking for an assessment tool to ability group 4th and 5th grade students, in particular setting a "top" group. This group would receive more enrichment, less practice on concepts and a faster ...
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2answers
1k views

Project/Assessment based on Flatland for Secondary Geometry Class

One of my favorite books is Flatland by Edwin Abbott, which is incredibly rich in geometric concepts especially relating to dimensionality. I would really like to assign it to my secondary geometry ...
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1answer
179 views

How to read better?

In this semester I've realized that many of the problems (my) students have can be solved by reading better. The most recent example I've encountered was in the last exam; I asked them the following: ...
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2answers
244 views

Placement tests for middle school math

Our district has changed its approach to placing students in grades 6 and 7 math classes. Students considered for placement above grade level must now take a test composed of problems drawn from the ...
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3answers
11k views

Is every number a multiple of one? [closed]

On a 4th grade test the question was asked: 17 is a multiple of only two numbers, 1 and 17. Tell why this statement is true. If it is true then every number must be a multiple of 1 since 1 is a ...
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3answers
491 views

Requiring basic skills to pass a course without increasing their grading weight

As I grade my final exams, I sometimes find calculus 1 students who will pass with a C but lack critical skills like the chain rule. This can be for a number of reasons, for instance: They understand ...
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2answers
183 views

How do I get my middle schoolers warmed back up at the start of the year prior to giving a placement test

I'm going to be teaching small (< 10 students) but very mixed group of middle schoolers (US system, ages 11-13) who have had varying amounts of pre-algebra and algebra instruction thus far. I need ...
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2answers
166 views

How can PISA released questions be used to improve the mathematical competencies of students?

The purpose of this question is to ask for your experiences using PISA released questions at classroom. How do you use them to improve the mathematical competencies of your students? How do you ...
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4answers
4k views

Grading homework problems on completion vs. correctness, and overall grading

I taught Calculus 2 at my institution the past two semesters and several students have left comments in their course evaluations that advocate grading homework problems based on whether they were ...
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3answers
2k views

What research is there on the effectiveness of multiple choice questions for summative assessment?

This is perhaps the question that some thought Grading scale: how to handle multiple choice questions with different number of choices really was. I'm of the opinion that multiple choice questions ...
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2answers
529 views

Exam philosophy

I'm curious if anyone knows of any books, studies, or other resources on the philosophy of creating and grading mathematics exams. After working as a graduate TA for 4 years and dealing with a wide ...
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1answer
173 views

Timed Exams, More Generally

This question is similar to "Should I design my exams to have time-pressure or not?", but is, I think, sufficiently different to deserve its own space. Naively, there are two benefits to placing (any,...
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3answers
230 views

In math courses with writing requirements, how should large papers be graded fairly?

In a course I am teaching this semester, I am required to have my students write a large (6-12 page or so) paper worth 40% of their grade. Many other colleges have courses with similar requirements, e....
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4answers
2k views

How to convey the meaning of “mathematical maturity”?

Some university-level courses have no specific prerequisites, yet are mathematically involved to the extent that someone with little to no experience in math will probably find themselves in over ...
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5answers
380 views

Making standards for “showing work” explicitly clear to students

I do not mean for this thread to be a discussion of whether or not students should show work on an exam, whether they should be docked points for just "seeing" an answer and writing it down, whether ...
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4answers
3k views

Is it worth grading calculus homework?

I am a young math educator. I've TAed four semesters of calculus for various instructors. Some instructors have required me to grade selected problems in homework sets. Another required me simply to ...
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4answers
664 views

How to standardize grading across several sections of a course?

Suppose you're the instructor of a large university course split into several sections, each of which has a TA. (Think of a giant lecture-style calculus course with several hundred students that meet ...
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1answer
227 views

Placing incoming college freshmen: basic algebra, pre-calc, calc

Assume that you have incoming college freshmen, so you might have access to their high school courses and grades, as well as their results on a placement test offered by your college. Also, assume ...
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240 views

Is required reading of the text effective, and how can it be assessed?

This will likely depend on the class, of course. But I've asked calculus students in the past if (a) they regularly read the textbook and (b) whether this is helpful for them and (c) whether they like ...