{"id":1384,"date":"2018-12-12T09:00:26","date_gmt":"2018-12-12T09:00:26","guid":{"rendered":"https:\/\/research.reading.ac.uk\/education\/?p=1384"},"modified":"2022-09-20T11:17:44","modified_gmt":"2022-09-20T10:17:44","slug":"blog-post-by-renata-bobik-dawes-and-nasreen-majid-using-reflective-journals-in-mathematics-to-develop-deeper-thinking-and-understanding-of-mathematical-processes","status":"publish","type":"post","link":"https:\/\/research.reading.ac.uk\/education\/2018\/12\/12\/blog-post-by-renata-bobik-dawes-and-nasreen-majid-using-reflective-journals-in-mathematics-to-develop-deeper-thinking-and-understanding-of-mathematical-processes\/","title":{"rendered":"BLOG POST (by Renata Bobik-Dawes and Nasreen Majid) &#8211; Using reflective journals in mathematics to develop deeper thinking and understanding of mathematical processes"},"content":{"rendered":"<h3>In this blog post, Nasreen Majid (Lecturer in Mathematics Education at the University of Reading\u2019s Institute of Education) reports preliminary findings of a small-scale research project that she has been working on with Dr. Renata Bobik-Dawes (Mathematics Specialist at St. Joseph&#8217;s College, Reading). The study focuses on Year 5 and 6 pupils\u2019 use of reflective mathematical journals to facilitate pupils\u2019 metacognition and self-regulation.<\/h3>\n<p>&nbsp;<\/p>\n<p><strong>Context<\/strong><\/p>\n<p>The project\u2019s aims to develop deeper levels of thinking on mathematical processes with a group of year 5 and 6 pupils. This thinking has been facilitated through the structured use of mathematical journals that the pupils have been writing every week. The diary entries have been discussed in taught sessions in order to enable pupils to hone in on what deeper thinking looks like in the context of mathematics. The principles driving the project have been inspired by the recent work on metacognition and self-regulation from the Education Endowment Fund, (EEF, 2018).<\/p>\n<p><strong>What is Metacognition and Self-Regulation?<\/strong><\/p>\n<p>Metacognition and self-regulation strategies aim to engage pupils in deeper thinking about their learning processes. This is enabled by structured teaching of key strategies throughout the learning process, enabling them to plan, monitor and evaluate their own learning, (EEF, 2018). According to the EEF, (2018), clearly taught strategies that develop metacognition and self-regulation skills enable pupils to have high gains, with an average of seven months of additional progress. Finally, the professional development that can enable teachers to learn the skills to achieve these gains are cost effective, with an average spend of under \u00a380 per pupil, (EEF, 2018).<\/p>\n<p><strong>What we did?<\/strong><\/p>\n<p>The project started with a survey of pupil attitudes towards mathematics. The reason for the survey was enabling a pre and post comparison of how pupils felt about their mathematics learning and if there was a change in attitudes once they had an established routine of reflecting on their mathematics learning using the journals.<\/p>\n<p>The journals were introduced to the pupils and they wrote an entry every week for two terms. As the year progressed, a marked increase in deeper reflection was noticed through the journal entries.\u00a0 An example of timed progress can be seen in the work of Shahzaib, a pupil in year 6 in figures 1A, 1B, 1C.<\/p>\n<figure id=\"attachment_1385\" aria-describedby=\"caption-attachment-1385\" style=\"width: 640px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1385 size-large\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1a-1024x836.png\" alt=\"\" width=\"640\" height=\"523\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1a-1024x836.png 1024w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1a-300x245.png 300w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1a-768x627.png 768w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1a.png 1110w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption id=\"caption-attachment-1385\" class=\"wp-caption-text\"><strong>Figure 1A<\/strong>\u00a0 \u00a0Year 6 Pupil struggling to describe thinking processes at the beginning of the study<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1386\" aria-describedby=\"caption-attachment-1386\" style=\"width: 640px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1386 size-large\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1b-1024x790.png\" alt=\"\" width=\"640\" height=\"494\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1b.png 1024w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1b-300x231.png 300w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1b-768x593.png 768w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption id=\"caption-attachment-1386\" class=\"wp-caption-text\"><strong>Figure 1B<\/strong>\u00a0 \u00a0Year 6 Pupil describing and evaluating in detail performance in lessons as well as using analogy to explain thinking<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1387\" aria-describedby=\"caption-attachment-1387\" style=\"width: 636px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1387\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1c.png\" alt=\"\" width=\"636\" height=\"760\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1c.png 820w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1c-251x300.png 251w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen1c-768x918.png 768w\" sizes=\"auto, (max-width: 636px) 100vw, 636px\" \/><figcaption id=\"caption-attachment-1387\" class=\"wp-caption-text\"><strong>Figure 1C<\/strong>\u00a0 \u00a0Year 6 Pupil evaluating work done within a week and using analogy to describe thinking when doing division<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>Another clear trend noted was the use of models and images to describe mathematical processes and thinking. Some examples can be seen in figures 2A, 2B, 2C.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1388\" aria-describedby=\"caption-attachment-1388\" style=\"width: 642px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1388\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2a.png\" alt=\"\" width=\"642\" height=\"575\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2a.png 850w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2a-300x269.png 300w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2a-768x688.png 768w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><figcaption id=\"caption-attachment-1388\" class=\"wp-caption-text\"><strong>Figure 2A<\/strong>\u00a0 \u00a0Year 5 Pupil presents selection of methods used in a week using key vocabulary when describing thinking processes<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1389\" aria-describedby=\"caption-attachment-1389\" style=\"width: 638px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1389\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2b.png\" alt=\"\" width=\"638\" height=\"476\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2b.png 854w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2b-300x223.png 300w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2b-768x572.png 768w\" sizes=\"auto, (max-width: 638px) 100vw, 638px\" \/><figcaption id=\"caption-attachment-1389\" class=\"wp-caption-text\"><strong>Figure 2B<\/strong>\u00a0 \u00a0Year 6 Pupil describes steps in multiplication of decimals when describing thinking processes<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_1390\" aria-describedby=\"caption-attachment-1390\" style=\"width: 637px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1390\" src=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2c.png\" alt=\"\" width=\"637\" height=\"500\" srcset=\"https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2c.png 836w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2c-300x235.png 300w, https:\/\/research.reading.ac.uk\/education\/wp-content\/uploads\/sites\/35\/2018\/nasreen2c-768x603.png 768w\" sizes=\"auto, (max-width: 637px) 100vw, 637px\" \/><figcaption id=\"caption-attachment-1390\" class=\"wp-caption-text\"><strong> Figure 2C<\/strong>\u00a0 \u00a0Year 6 Pupil using mind mapping to present thinking skills and conceptual understanding<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p><strong>Summary<\/strong><\/p>\n<p>Early evaluation of the study are encouraging as the use of reflective journals in mathematics has enabled gains for pupils in their mathematical thinking. Additionally, the journals have and continue to act as formative assessment tools for the class teachers to support future learning and planning of mathematics. Furthermore, it enabled the pupils to take individual and collective responsibility for their learning in order to become successful mathematicians.<\/p>\n<p>Therefore, as researchers both Renata and I are excited to continue this project and measure outcomes of cohorts taking part in the project in academic year 2018-2019.<\/p>\n<p>We are grateful for the work of the EEF, (2018) to provide us with a clear tool kit to enable us to develop a bespoke project that has captured mathematical thinking in the classroom. We hope to be in a position to write up the findings for a journal article focused on practitioners.<\/p>\n<p>I will leave you with a final comment from one of the pupils\u2019 from the study:<\/p>\n<p><em>\u2018I think that the mathematical journal has really helped me develop and understand my mathematics skills better than I have ever before&#8230;&#8230;..This year you have opened up my mathematics vocabulary and interest.\u2019<\/em><\/p>\n<p>&nbsp;<\/p>\n<p><strong>References<\/strong><\/p>\n<p>EEF. (2018). Metacognition and self-regulation: Teaching and Learning Toolkit Education Endowment Foundation April 2018 available at: <a href=\"https:\/\/educationendowmentfoundation.org.uk\/evidence-summaries\/teaching-learning-toolkit\/metacognition-and-self-regulation\/\">https:\/\/educationendowmentfoundation.org.uk\/evidence-summaries\/teaching-learning-toolkit\/metacognition-and-self-regulation\/<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this blog post, Nasreen Majid (Lecturer in Mathematics Education at the University of Reading\u2019s Institute of Education) reports preliminary findings of a small-scale research project that she has been&#8230;<a class=\"read-more\" href=\"&#104;&#116;&#116;&#112;&#115;&#58;&#47;&#47;&#114;&#101;&#115;&#101;&#97;&#114;&#99;&#104;&#46;&#114;&#101;&#97;&#100;&#105;&#110;&#103;&#46;&#97;&#99;&#46;&#117;&#107;&#47;&#101;&#100;&#117;&#99;&#97;&#116;&#105;&#111;&#110;&#47;&#50;&#48;&#49;&#56;&#47;&#49;&#50;&#47;&#49;&#50;&#47;&#98;&#108;&#111;&#103;&#45;&#112;&#111;&#115;&#116;&#45;&#98;&#121;&#45;&#114;&#101;&#110;&#97;&#116;&#97;&#45;&#98;&#111;&#98;&#105;&#107;&#45;&#100;&#97;&#119;&#101;&#115;&#45;&#97;&#110;&#100;&#45;&#110;&#97;&#115;&#114;&#101;&#101;&#110;&#45;&#109;&#97;&#106;&#105;&#100;&#45;&#117;&#115;&#105;&#110;&#103;&#45;&#114;&#101;&#102;&#108;&#101;&#99;&#116;&#105;&#118;&#101;&#45;&#106;&#111;&#117;&#114;&#110;&#97;&#108;&#115;&#45;&#105;&#110;&#45;&#109;&#97;&#116;&#104;&#101;&#109;&#97;&#116;&#105;&#99;&#115;&#45;&#116;&#111;&#45;&#100;&#101;&#118;&#101;&#108;&#111;&#112;&#45;&#100;&#101;&#101;&#112;&#101;&#114;&#45;&#116;&#104;&#105;&#110;&#107;&#105;&#110;&#103;&#45;&#97;&#110;&#100;&#45;&#117;&#110;&#100;&#101;&#114;&#115;&#116;&#97;&#110;&#100;&#105;&#110;&#103;&#45;&#111;&#102;&#45;&#109;&#97;&#116;&#104;&#101;&#109;&#97;&#116;&#105;&#99;&#97;&#108;&#45;&#112;&#114;&#111;&#99;&#101;&#115;&#115;&#101;&#115;&#47;\">Read More ><\/a><\/p>\n","protected":false},"author":354,"featured_media":1390,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"__cvm_playback_settings":[],"__cvm_video_id":"","footnotes":"","_links_to":"","_links_to_target":""},"categories":[17],"tags":[],"class_list":["post-1384","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-latest-news-blog-posts"],"acf":[],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>BLOG POST (by Renata Bobik-Dawes and Nasreen Majid) - Using reflective journals in mathematics to develop deeper thinking and understanding of mathematical processes &#183; 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