2016年11月19日 星期六

MAED6163 - 6th Article



Reflection 6

The action research I read is called “Algebra in the Fifth Grade Mathematics Program”, which is written by Kathy Bohac studied in University of Nebraska – Lincoln. And I would like to focus on his “Purpose Statement” and “Method” provided by Dr. Ng.

At the very beginning, he mentioned the intent of his study was to find if his students could solve equations. But the data collected (what he did in the research) was not exactly what he was intended to do. I suggest he should be specific that he was doing a research about the effectiveness of using the Hands-On Equation program.

Moreover, his first research question “what happens to my teaching when I enhance my fifth grade mathematics instruction to include more algebraic concepts?” is difficult to measure. Asking students’ opinions will have bias result easily. Moreover, how can students know what he meant about “more” because he has taught this topic for several years but for the students, that was the first time to reach the topic. The third question “what happens to student understanding of algebraic concepts when I increase the amount of algebraic concepts studied in fifth grade mathematics?” also has the same problem since students did not learn this before and did not “feel” the increase of the amount.

Therefore, I suggest he should collect the data from other classes that was taught by him but keep same amount of algebraic concepts. Otherwise, through survey, interview, pre-test and post-test of same group of students did not help in his research. Post-test result must be better than pre-test since they learnt seven more lesson.

On the other hand, he mentioned about “due to the snow day and student absences, this turned out to be a good number of lessons to have”. And also in the method part, he mentioned about “Everything from this project was collected, separated and filled in individual student folders… I also kept a calendar with the dates of each event throughout the entire research project.” I am not sure if what he wrote was useful to his research. The progress of how he kept the data was not relevant / does not affect the result of research. Instead of focusing on how to keep the data, I suggest he should focus more on what kinds of students he chose, how he carried out the interview, or how he collected data.

Last but not least, about the appendix, there are few suggestions. For example, the challenging questions from “junior high algebra textbooks” (appendix D) should not be that easy (even easier than pre-test, post-test and hands on equations), the interview questions are too difficult (e.g. what is algebra?) for fifth grade students (10~11 years old) to answer. I suggest he can revise those materials so that the data collected is more precise and useful.

(473 words)

MAED6163 - 5th Article



Our school is going to organize a STEM day in March. In order to evaluate the effectiveness of STEM day, I am going to collect the data before and after the STEM day. In this pilot study, I will mainly focus on the research I did before STEM day.

My colleagues and I organized a lunchtime programme on November 7, 2016. In the programme, we clearly explained the criteria and the purpose of the task to students so that students can have better understanding about the arrangement of STEM day.

On November 14, 2016, I requested students in my class to stay after school to discuss the details of their products (Other classes will be done in February). After all students were on progress, I selected one group and interviewed with them with the help of audio recording due to limited manpower.

After the interview, I used grounded-theory to analyze data. I would like to evaluate the effectiveness of STEM day and therefore I do not have any hypothesis at the beginning. When I started the interview with audio recording, the analysis takes place and will be stopped when I collected and data after the STEM day at the end of the research study.

But since other classes has not yet started the interview, only one interview and one group of data is difficult to do coding (which consists of indexing of the interview) and further exploration on other important or interesting topics. Therefore, I have only collected, organized and presented the data but will wait for other classes for further analysis. A list of relevant and similar content will be excerpted later.

When I was collecting the data, I am glad to see that my students showed improvement. At the beginning, they were nervous and refused to talk and have video recording. But after they warmed up, they spoke fluently and confidently. And the progress is smooth.
When I was organizing and presenting the data (Transcripts and graph), I was super tired because firstly, my typing speed is very slow that I had to repeat the audio again and again in order to catch up every words they said. Secondly, I needed to spend time on gathering all data in the worksheets before calculation. Thirdly, present the data through plotting the graph also took me quite long time because I was not familiar using excel plotting diagram. Tired but fruitful.
(401 words)

2016年11月9日 星期三

MAED6163 - 4th Article

我們的 STEM DAY 會在三月初舉行,為了令研究有所成效,我會在 STEM DAY 前後收集數據,這篇文章只會討論 STEM DAY 前之安排。

我計劃在今星期舉行一個午間活動,和學生詳細交代 STEM DAY 的準則和安排,令學生了解 STEM DAY 的活動內容和實際目標,並進行分組。在過程中,我們會提供少量製成品的資料,以及教授資料搜尋技巧 (網上及圖書館相關書籍),讓學生於課後空閒時間稍作準備。

在下星期,我們會安排學生留校一小時,學生需要按之前遞交的分組名單進行分組討論,把找到的資料向組員匯報和分享,並在整理好相關資料後,填寫在工作紙 (連同問卷) 上。為了令沒有準備的學生也能參與其中,我們會提供每組一部 iPad,讓欠缺準備的學生透過網絡資源解決部份問題。由於我們人手有限 (每班有7至10組,每班只有一位老師),我們每位老師會揀選兩組 (共10組) 進行訪問和錄影,其他組別則會將結論自行填寫在工作紙 (連同問卷) 上。

工作紙 (連同問卷) 主要圍繞兩個問題:
第一,是與 STEM Project 內容有關,例如詢問學生會用甚麼材料,以及會怎樣製作。這些問題除了測試學生有沒有事先作資料搜集,以確保學生能順利完成 STEM DAY 外,亦能看出學生共通能力的運用,如創造力和自學能力等等。
第二,是對平時學習的想法,例如是詢問他們對於科學,科技和數學課堂的意見,以及他們對於這些科目的感受。這些問題旨在令我們知道 STEM DAY 對學生的影響,通過事前和事後的數據收集和比較分析,從而了解是否能改變他們認為科目沉悶無趣以及沒有用處的看法。

以上為 STEM day 前的 Pilot Study 。
(606字)

2016年10月10日 星期一

MAED6163 – 3rd Article



http://www.timssvideo.com/69 [03:53 – 09:53]

看完這段影片,我是欣賞這個老師的,以下將為幾點的thick descriptioninterpretation。首先,我認為她的重溫和引入詳細而有趣:
1.       透過一粒粒堆高的膠塊展示。
2.       將之前所學的「Draw graph」與這課連結起來。
3.       透過例子,讓學生自行想出「a^m X a^n = a^(m+n)」這條公式。
4.       學生於過程中跟隨老師步伐。

其一,沉悶的代數 (Algebra) 內容是學生最大的致命傷,學生和老師們都忙於操練,甚少會在乎有趣不有趣,但是從影中,可看出這位老師對此非重視,她透過一粒粒堆高的膠塊展示給學生,把所學的代數形象化,大大提高學生學習興趣。

其二,所有老師都會重溫學生的先備知識,但是並不是每位老都很重視,有不少老為了爭教新內容,都會把「已有知識」快飛過,毫不重視。但,從影中可看出,她重視重溫已有知識,並擅利用學生已備知識來把新知識建構上去,並加以利用鞏原有基。雖然之前所教的是畫直線「0 = ax + by + c」,與現在所學的「a^m X a^n = a^(m+n)」沒太大關,但他卻把這兩課連起來,以「graph」作為引旨一部份也是甚有創意。

其三,為了使課堂變得有趣,她不把公式寫出來讓學生背誦,卻以三條練習讓學生自行想出指數的關,並自行想出公式,這樣的教學雖然比起直公式慢,但卻令學生有深

最後, 學生專心上課,跟隨老師步伐,並主動回答問題,亦主動問問題,也可以判出學生並非(完全)造假,猜得出平時的課堂氣也是甚好,老師與學生的關係密

說來慚,以上三種教學方式,我只是試過第三種,看來我要面壁思過了。

 (609 words)