Latest Learning Graphs
Proportional Relations
A learning graph deals about proportionality and the slope of proportional relations.
# Direct proportionality & rule of three
# Linear functions
4
7
3
g0573
9
ASYMPTOTE Tutorial
This learning graph presents the features of the ASYMPTOTE app and the multiple answer formats. Have fun discovering ASYMPTOTE!
# Unassigned
3
11
4
g47109
7
Practicing of Linear Functions
In this learning graph, tasks are given on the concept of proportionality as well as on the slope and graph of a linear function.
# Linear functions
2
5
5
g14136
9
Inverse Trigonometric Function: arccot
This LG covers the topic of inverse trigonometric, arc-cotangent function. It is an LG with a high number of tasks for two main reasons: (1) The cotangent function is not part of the secondary school mathematics program, so students in higher education learn the cotangent function and then its inverse function, so students have a greater difficulty, compared to other inverse trigonometric functions. (2) This is the last inverse trigonometric function studied, so this LG is intended to function a bit as a review of the topics covered, in the context of inverse trigonometric functions.
# Functions of one variable
13
8
13
g78228
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Inverse Trigonometric Function: arccos
Learning graph with several exercises about the arccos function that include: domain; range of values; derivatives; inverse function; tangent and normal line; equations and inequations; differentials; approximate values.
# Complements of differential calculus in real numbers
7
6
6
g03221
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Fractions_2
This Learning Graph contains tasks for fractions and its aims are the students:
-to familiarize with the concept of fractions,
-to be able to recognize the parts of a fraction,
-learn to compare them,
-and correctly place them on the number line.
# Measurements & estimation
2
4
5
g38312
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Fractions 3.2
Hello students!
Let's continue our journey to fraction-land, with a new and hopefully fun Learning Graph
# Measurements & estimation
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g35315
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from arithmetic to algebra
In this learning graph students can challenge themselves with different tasks regarding arithmetic and algebraic thinking.
# Numbers & operations
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6
1
g27532
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Julio Le Parc Serie 48 - 1970
In this series, the Argentinian Op'Art artist Julio Le Parc, uses his famous 14 color palette to let mathematics mix them in a fixed but rather random looking way. Let's investigate what is happening there!
# Operations with natural numbers
4
6
2
g19356
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Latest Tasks
Proportional Relations
A learning graph deals about proportionality and the slope of proportional relations.
# Direct proportionality & rule of three
# Linear functions
4
7
3
g0573
9
ASYMPTOTE Tutorial
This learning graph presents the features of the ASYMPTOTE app and the multiple answer formats. Have fun discovering ASYMPTOTE!
# Unassigned
3
11
4
g47109
7
Practicing of Linear Functions
In this learning graph, tasks are given on the concept of proportionality as well as on the slope and graph of a linear function.
# Linear functions
2
5
5
g14136
9
The Chat
In the Digital Classroom, students and teachers can interact with each other via chat (speech bubble icon, see picture, left). Text and voice messages as well as pictures can be sent.
Please send us a photo of your notes on the previous task or a text or audio message!
Note: Sending messages via chat is only possible if you are working in the Digital Classroom and have an active internet connection.
# Unassigned
Learning
5
Example support task
A support task usually contains a simplified version of the problem presented as main task. It aims to give the student the needed guidance and advise in order to complete the related main task.
In this case, our advise is to have a look in "The Hitchhiker’s Guide to the Galaxy" of Douglas Adams. In it, the author claims that 42 is the answer to the "Ultimate Question of Life, the Universe, and Everything”. Please return to the main task, enter 42 in its answer field and proceed.
And one more important information: to the right of the task title you can find the read-aloud button. When you press it, the app reads out the task formulation. Please try it out!
# Numbers & operations
Training
7
Rewarding, attempts, and support tasks
For a correct answer, the user is rewarded points. More than one wrong answer reduces the initially 100 points an exercise contributes. For every exercise, the user can try four times to enter the solution.
So what is the solution here? Please try to find out. Maybe the hints will help...
# Numbers & operations
Learning
7
Inverse matrix
Given a matrix $A$ and its inverse matrix $B$. Choose the correct statements.
We define $I$ as the identity matrix and $A^{T}$ as the transpose of $A$. Further, $k\neq0$ is a scalar and $det(A)$ represents the determinant of A.
# Inverse
Reasoning
13
Simplify the power
Who has the right answer?
Exercise: Simplify the following power.
1) $ (1234)^{-1000}\\ $
Lisa: The answer is $\frac1{(1234)^{1000}}$
Ali: No the answer is 1,234.
# Powers of non-negative rational basis
Reasoning
8
Determination of an easy negative power
Write the exact answer to this exercise.
If you need to write the power then use this form a^b. For fractions use this form a/b.
Use this rule to get to the solution:
$ a^{-b\;}=\frac1{a^b}\\ $
1) $ 5^{-2} $
2) $ 7^{-3} $
# Powers of non-negative rational basis
Learning
8
Stay Up-to-Date
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A new case study on the ASYMPTOTE system is available! Flavia Mammana, Eugenia Taranto, Despoina Koutsomanoli Filippaki and Georgios Fesakis presented their research at the HELMeTO 2022 conference. ...
The proceedings of the ROSEDA Conference are published! The book contains 25 contributions on how STEM education can be enriched by the use of technology. The proceedings can be found on the ASYMPTOTE ...
The Research On STEM Education in the Digital Age (ROSEDA) Conference was a great success! In various presentations, the participants discussed the role of digital tools to enrich STEM education from ...
The Research On STEM Education in the Digital Age (ROSEDA) Conference will take place next week! It is hosted by at the School of Engineering (ISEP), Polytechnic of Porto. Invited are all members of ...