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Review Results <div class="infoview_header float_left" style="width:99.9%"> Contribution Details <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="oddrow infoview_body float_left" style="width:99.9%;"> <div class="infoview_invert infoview_IDbox_right"> 330  Type of Submission: Research Report (RR)  <a href="https://www.conftool.com/pme42/index.php?page=showAbstract&amp;form_id=330" class="fontbold font12">“Speaking” Mathematics with “Systems That Explain Themselves”</a> <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Walther Neuper <a href="mailto:wneuper@ist.tugraz.at" title="wneuper@ist.tugraz.at"><img src="PME42%20-%20ConfTool%20Pro%20-%20ReviewResults_files/mailto.gif" alt="mailto" border="0"></a> Submitted by: Dr. Walther Neuper (Graz University of Technology, AT), ID: 5331 <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Presenting Author: Neuper, Walther <a href="mailto:wneuper@ist.tugraz.at" class="fontnormal">wneuper@ist.tugraz.at</a> <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Research Domains: 07 Problem solving and problem posing, 08 Proof, argumentation and reasoning, 09 Representations and modeling, 17 Conceptual change and development, 19 Teaching and learning with technologies, 20 Tools, semiotics and gestures Grade Levels: 03 Secondary (age 10-18, and teachers of this grade level), 04 Post Secondary (age 16+, and teachers of this grade level), 05 Vocational education (and teachers of this grade level), 06 Adult education and out-of-school mathematics (and teachers in these contexts) Research Methods: 04 Theoretical/Philosophical analysis <img src="PME42%20-%20ConfTool%20Pro%20-%20ReviewResults_files/ok.gif" border="0" align="bottom"> I have considered the <a href="http://www.igpme.org/index.php/annual-conference/session-types/research-report?id=121" target="_blank">Submission Check List for Research Reports (link!)</a>. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> <img src="PME42%20-%20ConfTool%20Pro%20-%20ReviewResults_files/copyright.png" alt="Copyright Form Completed" border="0" align="bottom"> Copyright form signed by Dr. Walther Neuper on 15th Jan 2018, 10:57:24am

<div class="infoview_header float_left" style="width:99.9%"> Review Result of the Program Committee <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="highlightbg infoview_body" style="float:left; width:99.9%;"> We are sorry to report that your Research Report has not been accepted, but we would like to invite you to re-submit your proposal as an Oral Communication. <div class="evenrow infoview_body" style="float:left; width:99.9%;"> <p class="fontnormal ctparagraph">If you would like to re-submit your proposal as an Oral Communication, please login to ConfTool (https://www.conftool.com/PME42) and make a new submission, following the guidelines for OC found at the PME 42 Conference website (http://www.pme42.se/). Please submit your one-page submission by April 30, 2018. Your re-submitted proposal will be re-reviewed and a decision given by May 7, 2018. If your OC is accepted you must pay the balance of the conference registration fee by May 16, 2018 in order to present your OC at the conference.

<p class="fontnormal ctparagraph">Please note that all submissions and their reviews were considered by the International Program Committee who determined the final outcome.

<div class="infoview_header float_left" style="width:99.9%"> Evaluation of the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="evenrow infoview_body" style="float:left; width:99.9%;">

<div class="infoview_header float_left" style="width:99.9%"> Reviewer's Comments on the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Rationale &amp; research question: Excellent standard This is a very ambitious Theoretical Essay. Trying to bridge the gap between the TP systems and their potential application to the psychology of mathematics education is a formidable task. The argument is well developed and discussed. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Theoretical framework &amp; literature: Excellent standard The diagrams of TP systems as summarized in the figures are well-conceived and explained. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Methodology: Excellent standard I believe that the author does an effective job of providing the necessary foundation for considering TP as useful to math education. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Results: Excellent standard The paper hypothesizes that the TP systems may well be useful to examining novel actions in mathematical problem solving. I can see the potential of the approach taken here. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Clarity: Excellent standard The paper is very clear and organized in a structure that is easy to follow. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Relevance: Excellent standard The study will be of great interest to PME members. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Final Recommendation: Accept as Research Report (RR) <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Reasons for recommendation: When I started reading this paper I was concerned that it might not be suitable as a research report. However, as I continued reading I found that the author provides a very thoughtful analysis of the usefulness of TP systems and how they may be appropriate for examining some areas in mathematics learning and problem solving. The most obvious application seems to me to involve the effectiveness of intelligent tutoring systems. These systems (based on the work of Koedinger) are becoming very popular in US school systems because they represent a transparent and efficient approach for considering problem solving (particularly in skills-dominated domains such as algebra). However, the confirming evidence does not exist that Intelligent Tutoring enhances students' conceptual knowledge. So, if the ideas presented in the paper can be adopted to study the effectiveness of intelligent tutoring systems, then the authors will have made a substantial contribution to our understanding of the benefits and limitations of software based tools for learning mathematics. <div class="infoview_spacerline">

<div class="brightbg infoview_body" style="width:99.9%; float:left; overflow-y: hidden;"> <div class="list_element_actions fontbold font9" style="overflow-y: hidden;"> <ul><li><a href="https://www.conftool.com/pme42/index.php?page=editReviewRating&amp;form_paperID=330&amp;form_reviewID=8&amp;returnpage=reviewResults">Edit Rating for a Review</a></li> </ul>

<div class="infoview_header float_left" style="width:99.9%"> Evaluation of the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="evenrow infoview_body" style="float:left; width:99.9%;">

<div class="infoview_header float_left" style="width:99.9%"> Reviewer's Comments on the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Rationale &amp; research question: Slightly below the standard The rationale is too wide but interesting. The topic of Computer Theorem Proving brings epistemological questions about "what is a proof" in mathematics (but the paper does not reach this question). This submission is an essay which "(…) tried to build a bridge from TP-based technology with features affine to learning on the one side to psychology of mathematics education on the other side". <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Theoretical framework &amp; literature: Slightly below the standard The literature can be enriched by other references regarding the epistemological aspect of Computer Theorem Proving. The central concept used in this paper (language) to generate analysis and discussion is not enough developed. Moreover, the representations registers should be integrated in the discussion. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Methodology: Slightly below the standard The arguments of the author(s) are not clear and precise enough. In my opinion, the lack is a missing epistemological background regarding "proof" and its nature in mathematics. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Results: Slightly below the standard Such a discussion is necessary in the PME community. Nevertheless, this submission is not strong enough and the literature should be revised. (remark: there is no reference coming from previous PME proceedings). <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Clarity: Slightly below the standard The text is clear but the purposes are not always well defined. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Relevance: Meets the standard The topic of this submission is relevant to PME audience but the discussion proposed in this paper is not accomplished enough. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Final Recommendation: Reject <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Reasons for recommendation: In spite of an interesting topic for further discussions in PME community, the above-mentioned gaps lead me to reject this paper. Additional remark: pages 1 &amp; 5 of the paper do not follow the PME template. <div class="infoview_spacerline">

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<div class="infoview_header float_left" style="width:99.9%"> Evaluation of the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="evenrow infoview_body" style="float:left; width:99.9%;">

<div class="infoview_header float_left" style="width:99.9%"> Reviewer's Comments on the Contribution <div class="infoview_spacer infoview_sep float_left" style="width: 99.9%; clear: both;"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Rationale &amp; research question: Slightly below the standard The context for this theoretical essay is interesting: the emergence of a new generation of software based on automatic theorem proving, and the study of their potential for learning mathematics, but what is exactly aimed by the essay is not so clear from the introduction section. New questions regularly emerge along the text, which does not contribute to make the goal clearer. Moreover, no reference is made to the existing body of research in math education and/or AIED having developed/used computer programs to support the development of mathematical reasoning and proof, the outcomes and limitations of which are, a priori, a useful background for such an essay. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Theoretical framework &amp; literature: Slightly below the standard The author does not explicitly refer to a particular theoretical background. After the introduction section, the reader is introduced to the main characteristics of the technology at stake (self explanatory systems built on TP) which, according to the author offer complete, transparent and interactive models of mathematics, the meaning to be given to these terms being explained through examples from engineering education. Then the author looks for similarities and differences between natural language and the language of formal mathematics, but the analysis neither refers to particular theoretical framework or related literature. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Methodology: Slightly below the standard The author develops some arguments but the discourse remains rather fuzzy, and is not based on sound theoretical arguments. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Results: Slightly below the standard The bridge between TP- based technology and psychology of mathematics education aimed at is only very partially started with this essay, and the discourse developed about learning and language seems a bit naïve. However, implications emerge for further research in collaboration with mathematics education researchers. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Clarity: Meets the standard The language of the paper is ok, however making sense of the examples provided may be difficult for the reader, due to the sophistication of the technology referred to. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Relevance: Slightly below the standard The theme of the essay is interesting but the problematization, theoretical background, and results present evident limitations. <div class="infoview_spacerline"> <div class="oddrow infoview_body" style="float:left; width:99.9%;"> Final Recommendation: Do not accept as Research Report (RR), but offer to resubmit as Oral Communication (OC) Due to the interest of the theme of the essay, my opinion is that giving the author the opportunity to resubmit as Oral Communication is justified. <div class="infoview_spacerline"> <div class="evenrow infoview_body" style="float:left; width:99.9%;"> Reasons for recommendation: As explained above, I find the theme of this essay interesting but considers that what is offered does not fulfill the criteria for acceptance as a Research Report. <div class="infoview_spacerline">

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