Hi @steen. Do you have a minimal example of a math app that you want this for. I think this is possible if you deal with everything as strings and use try/catch. We had some luck parsing maple errors a few weeks ago so that might be useful to you, but I need to understand the exact use case a little more.
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RE: Handling input errors via startup codes
RE: Sketch graph where student defines axis
@Grapheur If you are grading manually would a scanned document(i.e. file upload) question type work? If this is not what you are looking for, please could you provide more details on how the students would enter information into the graph?
(Relatively) Efficient Generation of Invertible 3x3 Matrices
The following code generates a matrix by creating two non-zero random vectors, forcing them to be linearly independent, and then taking the cross product to calculate a third vector. It then finds a random permutation of these three vectors within a matrix, and may also transpose the matrix at random.
nonZeroVec := overload( [ proc(v::Vector) option overload; local dim:=LinearAlgebra:-Dimension(v); if LinearAlgebra:-Equal(v,LinearAlgebra:-ZeroVector(dim)) then v(rand(1..dim)()):=rand(1..4)()*(-1)^rand(0..1)():fi: end, proc(l::list) option overload; local i; for i from 1 to numelems(l) do nonZeroVec(l[i]) od: end ] ): nonSing3 := proc() local a,b,num1,num2,c,trans,M: #Generate Random Column Vectors: a:=LinearAlgebra:-RandomVector(3, generator = -4..4): b:=LinearAlgebra:-RandomVector(3, generator = -4..4): #Check for zero vectors: nonZeroVec([a,b]): #Ensure Linear Independance: while LinearAlgebra:-Equal(abs(a/norm(a)),abs(b/norm(b))) do num1:=rand(0..1)(): num2:=rand(0..1)(): b(1):=(-1)^num1 *rand(1..2)()+b(1): b(2):=(-1)^(num2*(1-num1)) *rand(1..2)()+b(2): b(3):=(-1)^((1-num2)*(1-num1)) *rand(1..2)() +b(3): nonZeroVec([a,b]): od: c:=LinearAlgebra:-CrossProduct(a,b): c:=c/max(igcd(c(1),c(2),c(3)),1): M:=Matrix( combinat:-permute(convert([a,b,c],list))[rand(1..6)()] ): trans:=rand(0..1)(): M:=M*(1-trans) + LinearAlgebra:-Transpose(M)*trans: return M; end proc:
RE: How to import Geogebra files, Cabri files into Mobius
I have found success using iframes and the geogebra materials system. You can embed any of the apps on geogebra.org/materials and you can upload your own. To find the embed code, choose an app on geogebra.org/materials, click the share icon in the top corner of the page and choose the embed tab. It should look something like the screenshot below
Below is an example embedding code.
<iframe scrolling="no" title="Dot Plot Tool" src="https://www.geogebra.org/material/iframe/id/HD6hhQ75/width/1024/height/390/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/false/rc/false/ld/false/sdz/false/ctl/false" width="1024px" height="390px" style="border:0px;"> </iframe>
To get this into Möbius you need to switch to source view in the question text area of the question designer. You can paste this code into the question where you want the geogebra app to display. You will need to preview the question to see it working.
Grading Code: Check if the rows of a matrix form a basis of a 2 dimensional vector space
# # Checks if input is a basis of some 2d vector space # # Takes: mat (matrix with rows as basis vectors) # ans1, ans2 (some correct basis vectors) # mat := Matrix([[1,1],[0,3]]): ans1 := Matrix([1,1]): ans2 := Matrix([0,3]): isMultiple := proc(vec1, vec2): matCheck := LinearAlgebra:-Transpose(Matrix([[vec1], [vec2]])): ans := 0: if evalb(LinearAlgebra:-Determinant(matCheck) = 0) then: ans := 1: end if: ans: end proc: result := "unknown": dim := LinearAlgebra:-Dimension(mat): if (evalb(dim <> 2) or evalb(dim <> 2)) then: result := 0: else: v1 := mat[1, 1..2]: v2 := mat[2, 1..2]: if evalb(isMultiple(v1,v2) = 0) then: if evalb(isMultiple(v1, ans1) = 1) then: if evalb(isMultiple(v2, ans2) = 1) then: result := "1": else: result := "0": end if: elif evalb(isMultiple(v2, ans1) = 1) then: if evalb(isMultiple(v1, ans2) = 1) then: result := "1": else: result := "0": end if: else result := "0": end if: else: result := "0": end if: end if: print(result);
RE: How to distinguish "No Answer" and wrong answers in gradebooks
@hig3 Hi, it shouldn't grade the rest of the assignment incorrectly if a student doesn't enter an answer. Can you share some screenshots of what you are seeing?