MathFlowLens Dashboard
Problem 252
Optimal solution takes 7 steps
Start State
Goal State
Other nodes
Additional nodes used in the dashboard
Optimal
Suboptimal
Dead-end
Selected Student Attempt
Student Attempt Summary
A visual representation of each student's attempts in chronological order. Can be filtered!
Student Name
Attempt Count
Attempt Data
387
922
2351
2901
4995
Items per page:
1-5 of 33
Show only first attempt
Hide student names
Hide step counts
Graph Diagram
Displays paths that students took from the start to the goal state. Click 'Controls' for interactivity.
Disable Interaction
Fullscreen
Only Relevant Paths
Select a student below to visualize their problem attempt
This is an interactive network/graph diagram that represents students' problem solving pathways. Each node (circle) is a state (i.e. mathematical expression; hover over a node for the expression). The links between nodes represent the transformation the students made. Additionally, the thickness of the arrow and line represents how many students made that transformations. The classification of the node if give by the color of the nodes. For example: blue is the start state, green is the goal state, and red nodes are dead ends. For more information and the theory behind the classifications, please visit this link.
Click on the 'Controls' button, to enable interactivity and access additional controls for the graph.
Treemap Diagram
Displays percentage of student attempts with the respective first step
4*5*(-100+1+45+55)/(2+3)*339%4*(2+3)*(-99+45+55)/(2+3)*319%4*(2+3)*(-100+1+45+55)/5*313%(4*2+4*3)*(-100+1+45+55)/(2+3)*312%4*(-100+1+45+55)*310%4*(2+3)*(-100+46+55)/(2+3)*33%4*(3*2+3*3)*(-100+1+45+55)/(2+3)1%(2+3)*(-100+1+45+55)/(2+3)*121%4*(2+3)*((-100+1+45+55)*3)/(2+3)1%
This visualization shows the first steps that students took. The larger the box the greater the number of students who made that first transformation. Similar to the network/graph diagram, the color of the box represents the classification of the first step. Some first steps might be very rare, which leads to the box being small. Hovering or clicking on a box will reveal addition information.
Example Student Attempts
Displays stuent attempts with respective classifications
Step Number Optimal (17.07%) Suboptimal (65.85%) Deadend (17.07%)
Start State.
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This table displays example student problem attempts of each classification type. It also displays the percentage of attempts that have the respective classification. In the table, the blue circle represents the start state, and the colored arrows represents the classification of the transformations: optimal, suboptimal, dead end. Additionally, green arrows indicate the completion of a problem, i.e. tranformation that leads to the goal state.
Student Performance Measures
Displays average performance measures for sample
Measure Average
Completions 93.94%
Number of Attempts 2.36
Number of Hints 0.55
Number of Resets 2.18
Number of steps in First Attempt 10.87
Number of steps in Last Attempt 11.06
Efficiency First Attempt 0.68
Efficiency Last Attempt 0.67
Time Taken (sec) 79.07
Pause Time First Attempt (sec) 11.47
Pause Time Last Attempt (sec) 11.22
Number of Total Errors 4.7
Number of Keypad Errors 0.03
Number of Shaking Errors 3.29
Number of Snapping Errors 1.19
This table contains the average values for performance measures. Hovering on the measures or visiting this link will display a detailed description of the various measures.