Automatic Exercise Generation in Euclidean Geometry

Papasalouros, Andreas

doi:10.1007/978-3-642-41142-7_15

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…Different techniques for creating exercises have been presented in prior work: (𝑖) Context-Free grammar [5,11,20,44,45]; (𝑖𝑖) Templates; (𝑖𝑖𝑖) Mutation [6,39]; (𝑖𝑣) Construction from solution [3,32]; (𝑣) Natural language processing [2,4,8,14,26,27,31,35,40,43,46,47]. This paper applies the Template approach through which patterns have been identified from previous statements to shape new instances.…”

Section: Related Workmentioning

confidence: 99%

Tartare: Automatic Generation of C Pointer Statements and Feedback

Brieven,

Baum,

Donnet

2024

Proceedings of the 26th Australasian Computing Education Conference

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This paper addresses the difficulties students face when learning and practicing pointers (i.e., variables storing the memory address of another variable as its value) in a computer programming class. To improve their understanding and practice, we have developed Tartare, an automatic C pointer statement and feedback generator. By creating statements with automatic feedback, students are given the opportunity to practice at will, each time on a different instance. In addition, if the statement must be done remotely and accounts in the final grade, Tartare discourages academic dishonesty since each student faces their own statement to solve.This paper describes the techniques implemented in Tartare, relying on a pattern template-based approach. The statement variety of Tartare is evaluated. Finally, current limitations and further improvements are discussed. We believe our approach for Tartare can be transposed for automatic exercises generation in various other fields. CCS CONCEPTS• Social and professional topics → CS1; • Software and its engineering → Source code generation.

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Section: Related Workmentioning

confidence: 99%

Tartare: Automatic Generation of C Pointer Statements and Feedback

Brieven,

Baum,

Donnet

2024

Proceedings of the 26th Australasian Computing Education Conference

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“…Papasalouros [25] describes a method to automatically generate exercises based on Horn clauses and applies it to the domain of Euclidean Geometry. This proposal defines a set of operators to move from the initial to the goal states.…”

Section: Related Workmentioning

confidence: 99%

Automated generation and correction of diagram‐based exercises for Moodle

Gómez‐Abajo,

Guerra,

de Lara

2023

Comp Applic In Engineering

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One of the most time‐consuming task for teachers is creating and correcting exercises to evaluate students. This is normally performed by hand, which incurs high time costs and is error‐prone. A way to alleviate this problem is to provide an assistant tool that automates such tasks. In the case of exercises based on diagrams, they can be represented as models to enable their automated model‐based generation for any target environment, like web or mobile applications, or learning platforms like Moodle. In this paper, we propose an automated process for synthesizing five types of diagram‐based exercises for the Moodle platform. Being model‐based, our solution is domain‐agnostic (i.e., it can be applied to arbitrary domains like automata, electronics, or software design). We report on its use within a university course on automata theory, as well as evaluations of generality, effectiveness and efficiency, illustrating the benefits of our approach.

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“…IJILT 35,3 2. Automated mathematics word PG Several research studies in the literature have been concerned with the automated generation of problems in the mathematics domain (Goguadze et al, 2005;Heeren et al, 2010;Papasalouros, 2013;Singh et al, 2012). Nevertheless, relatively few research studies addressed the problem of generating narrative mathematical word problems.…”

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confidence: 99%

Generating story problems via controlled parameters in a web-based intelligent tutoring system

Khodeir

Elazhary

Wanas

2018

IJILT

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Purpose The purpose of this paper is to present an algorithm to generate story problems via controlled parameters in the domain of mathematics. The generation process is performed in the problem generation module in the context of an intelligent tutoring system suggested in this paper. Controlling the question parameters allows for adapting the generated questions according to the specific student needs. Story problems are selected since they are one of the most important types of problems in mathematics, as they help train students to apply their knowledge to real-world problems. Such problems target improving different student’s skills including literacy skills through reading the problem, recognizing the embedded mathematical information, and applying the required arithmetic operators. Design/methodology/approach Natural language generation (NLG) techniques are used to control the difficulty level of the generated story problem header in addition to effecting variations from the natural language point of view. The proposed NLG technique is based on different separated knowledge categories to provide flexibility in the generation process and allow porting the module to other contexts, domains, and to other natural languages without a complete redesign. Findings The approach has been empirically evaluated, and the results show that the generated problems are sound, clear, and naturally readable. This is in addition to the usability of the tutoring system itself. Research limitations/implications The generation technique is confined to the problem described using rhetorical schemas. Nevertheless, it can generate any problem provided that the rhetorical schema is available. Originality/value Most story problems generation systems limit the variation of the story problems to formulating the sentences that describe the story problem and the associated mathematical operations. In contrast, this paper presents a story problems generation technique that allows variations in the structure of the narrative story as well as the context, sentences, wordings, and mathematical operations. This variability allows assessing different student skills along different dimensions with gradually increasing difficulty levels.

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Automatic Exercise Generation in Euclidean Geometry

Cited by 8 publications

References 7 publications

Tartare: Automatic Generation of C Pointer Statements and Feedback

Tartare: Automatic Generation of C Pointer Statements and Feedback

Automated generation and correction of diagram‐based exercises for Moodle

Generating story problems via controlled parameters in a web-based intelligent tutoring system

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