本文選題：元認(rèn)知 + 數(shù)學(xué)概念�。� 參考：《四川師范大學(xué)》2015年碩士論文

【摘要】：為了提高數(shù)學(xué)成績(jī),教師會(huì)歸納考點(diǎn)的典型例題,布置大量相關(guān)習(xí)題讓學(xué)生模仿練習(xí)。而在如何分析條件和調(diào)整解題策略上,卻并未給出具有可操作性的建議。因此,對(duì)元認(rèn)知與數(shù)學(xué)概念多元表征相結(jié)合的調(diào)查研究,具有重要的理論價(jià)值和實(shí)踐意義。解題時(shí),需要提取題目中的關(guān)鍵信息,并進(jìn)行恰當(dāng)表征,同時(shí)元認(rèn)知也要對(duì)該過(guò)程進(jìn)行監(jiān)控和調(diào)節(jié)。數(shù)學(xué)概念具有多元表征這一特性,每個(gè)數(shù)學(xué)概念的表征形式會(huì)形成一個(gè)表征空間,如何從中選擇最恰當(dāng)?shù)谋碚餍问骄妥兊梅浅Ｖ匾Ｔ趯?duì)教師和學(xué)生訪談后,發(fā)現(xiàn)該內(nèi)容常常被忽略。因此,筆者通過(guò)文獻(xiàn)分析法、口語(yǔ)報(bào)告法、調(diào)查訪談法、定量與定性分析等研究方法對(duì)此進(jìn)行調(diào)查研究,旨在了解元認(rèn)知對(duì)解題行為進(jìn)行調(diào)控的情況。在文獻(xiàn)綜述的基礎(chǔ)上,將數(shù)學(xué)概念多元表征界定為數(shù)學(xué)概念或語(yǔ)義單位的數(shù)學(xué)表達(dá)式的多元性,與通常意義下的多通道、多形式的多元表征意義區(qū)分開。據(jù)此,筆者將本研究的內(nèi)容確定為:通過(guò)口語(yǔ)報(bào)告分析元認(rèn)知調(diào)控?cái)?shù)學(xué)概念多元表征的情況,包括元認(rèn)知行為、數(shù)學(xué)概念多元表征空間、以及元認(rèn)知對(duì)數(shù)學(xué)表達(dá)式選取的調(diào)節(jié)。研究得出如下結(jié)論:(1)元認(rèn)知行為參與了解題活動(dòng),但對(duì)解題行為的調(diào)節(jié)程度不夠;(2)被試沒(méi)有建立完善的數(shù)學(xué)多元表征空間;(3)元認(rèn)知與數(shù)學(xué)概念多元表征結(jié)合程度差�；谏鲜鲅芯拷Y(jié)論,給出了有益于提高元認(rèn)知調(diào)控?cái)?shù)學(xué)概念多元表征的教學(xué)策略,對(duì)解題能力、數(shù)學(xué)學(xué)習(xí)能力的提高能起到一定的啟示作用。
[Abstract]:To improve math performance, teachers summarize typical examples of test sites and assign a large number of related exercises for students to imitate. However, there are no operable suggestions on how to analyze the condition and adjust the strategy of solving the problem. Therefore, the research on the combination of metacognition and multi-representation of mathematical concepts has important theoretical value and practical significance. In solving problems, the key information is extracted and properly represented, and the process is monitored and regulated by metacognition. The mathematical concept has the characteristic of multivariate representation, and the representation form of each mathematical concept will form a representation space, how to choose the most appropriate form of representation becomes very important. After interviews with teachers and students, it is found that this content is often ignored. Therefore, the author investigates this problem by the methods of literature analysis, oral report, investigation and interview, quantitative and qualitative analysis, in order to understand the regulation of metacognition on problem-solving behavior. On the basis of literature review, the multivariate representation of mathematical concepts is defined as the plurality of mathematical expressions of mathematical concepts or semantic units, which is distinguished from the multi-channel and multi-form representations in the general sense. Based on this, the author determines the content of this study as follows: through oral report, the author analyzes the multiple representations of mathematical concepts, including metacognitive behavior, multi-representation space of mathematical concepts, and the adjustment of metacognition to the selection of mathematical expressions. It is concluded that: 1) metacognitive behavior is involved in problem-solving activities, but the degree of adjustment to problem-solving behavior is not enough (2) the participants have not established a perfect space for mathematical multivariate representation / space / 3) the degree of combination of metacognition and mathematical concept multiple representation is poor. Based on the above conclusions, a teaching strategy which is beneficial to the improvement of multi-representation of metacognitive mathematical concepts is put forward, which can give some enlightenment to the improvement of problem-solving ability and mathematics learning ability.
【學(xué)位授予單位】：四川師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：G633.6

【參考文獻(xiàn)】

相關(guān)期刊論文 前3條

1 董奇;論元認(rèn)知[J];北京師范大學(xué)學(xué)報(bào);1989年01期

2 董奇,張紅川,周新林;數(shù)學(xué)認(rèn)知:腦與認(rèn)知科學(xué)的研究成果及其教育啟示[J];北京師范大學(xué)學(xué)報(bào)(社會(huì)科學(xué)版);2005年03期

3 李賢;余嘉元;;口語(yǔ)報(bào)告:方法與展望[J];內(nèi)蒙古師范大學(xué)學(xué)報(bào)(哲學(xué)社會(huì)科學(xué)版);2006年01期

，

本文編號(hào)：1877599