Reciprocal Maths Update

Background:

Previously GO for teaching and The Wong Teacher posted about their Reciprocal Maths idea. After a number of weeks gradually introducing the context, then the skills, the process has turned out well on at least a surface level.

Issue:

With any new technology or development, the first pass is always improved on. The Reciprocal Maths idea is no different. Several areas for improvement were found.

While the reciprocal reading concept of continual cycles for each section works for texts, it doesn't work for maths problems which tend to be only one or two sentences that need to be comprehended then acted upon. Reworking the roles with a single cycle in mind resulted in many consequent changes including altering the roles, the flow, and the example questions.

Fix:

Two of the most critical changes relate to clarifying when events happen in the cycle. Those changes were adding a "solve" step into the cycle and grouping the Questioner with the Comprehender and Clarifier is meant to clarify when they are needed.

Sentence prompts were another part adjusted.

   
                                                                                                                                                                                                                                                                                                                                                            

Reciprocal Rea...Maths!

The issue:

Comparing various data points over several years, GO for teaching and The Wong Teacher came across a trend within students' numeracy skills. Students seemed to be capable of interview style assessments and problems that were pure abstract maths, but were less capable when solving word problems.

The hunch:

Students are having difficulty comprehending word problems therefore reducing their test scores and not presenting an accurate measure of mathematical capability. This is not to say that students' numeracy skills are in fact much greater than they test or that the assessments were flawed. In fact the comprehension of word problems may be closer to a reading comprehension issue than a numeracy issue.

The proposed solution:

GO for teaching and The Wong Teacher figured that if a literacy component is required to solve mathematical problems, then literacy skills in maths should be taught. To achieve this, we took the concepts of reciprocal reading and tried to adapt them for usage in a mathematical context. See our first attempt below. This Reciprocal Maths™ is intended to leverage peer learning and increased oral language use.

Comment Threads

 To follow on from the post in June, after several months of practicing our open and closed questions students are beginning to develop confidence and independence when trying to gather more information.

At first the first comment was the focus to engage the original blog poster to share some extra information.

The next step was the original blog poster was to engage that person after the reply to see how the relationship can lead to a shared understanding or learning activity.

Students are now explaining the purpose of this for their learning, and splitting the focus between the post itself and the comment.

The next step will be to simplify the post to share a succinct explanation, recount or report to develop longer threads to unlock information in a meaningful way.

Increasing learning conversation and literacy through blogging and commenting | Teacher Inquiry 2020

Accelerated learning, the holy grail being sought by schools in the Manaiakalani cluster. At Panmure Bridge School, our data has shown acceleration particularly in Writing. This acceleration has been aided in recent years thanks to a flattening of the 'Summer Slide', related to implementation of the Summer Learning Journey (SLJ). Grant Oglivie and Greg Wong's joint teacher inquiry for 2020 is to increase students' other forms of literacy, i.e. reading and oral, by leveraging learning conversations through blogging and commenting as used in the SLJ. The first step in this process is to codify and teach a system for blogging, then do the same for commenting.

The system for blog posting has been decided as using the recount, information report, and explanation text types taught in the Writing curriculum. There are several reasons for using these text types rather than developing another structure. Using these text types will compound on Writing lessons, providing students and teachers with more opportunity to refine students' writing techniques and find areas needing improvement. Working on these text types so frequently frees up Writing lessons to be dedicated to the grammar, style development, and the remaining text types (narrative, persuasion, and procedural). Finally, areas to be commented on are made available when students have written their posts in a well structured and thought out manner.

Evidence from students' drafting process will be used to inform the exact teaching points needed and when to continue to each phase. This process is likely to take a whole school year and possibly reach into 2021 to establish good routines in this year's year 5 students. Small scale improvements are likely to be seen by mid 2020, with long term improvements appearing as students reach Years 7 & 8.

Phonics, decoding, and spelling

One issue we have across the board (but especially for our target learners) in LS1 is the ability to decode and pronounce new words along with spelling already known words. In an effort to alleviate this we have instigated a phonics programme.

The phonics programme is based on Yolanda Soryl's phonics professional development course Grant and I both attended. While we have both taught phonics previously Soryl's programme consolidates many of the phonics practises and concepts into a coherent course based in New Zealand accents.

After an inconsistent start, we have found a place for a phonics lesson within our unconventional schedule. Perhaps one of the most powerful practises, though, is continual exposure and practise through the days and weeks. A particularly good strategy is bringing up phonics at random points throughout the day.

What the Data Says

As eluded to in the previous post we are selecting 2 groups for our collaborative inquiry this year.

Collaborative Inquiry

With the change in direction of the cluster and school with PLD, preconceived ideas and the group of student in LS1 we decided to run a collaborative inquiry this year.

What does this mean??

We will target oral language through Reading, Writing and Maths.
We are also focusing on improving Maths attainment through integrated topics using the HPE, Arts and Oral language curriculums.

The way the majority of content is covered is in differentiated groups. This will mean the target groups get "hit" from all different directions, from both teachers throughout the year.

We are also going to have 2 focus groups.  One group which teachers traditionally always focus on, the group who are "nearly" there but need a push. The second group is going to be a group that is operating ahead of where they need to be.

The rational behind this is to give a wider range of approaches a go, and to keep ourselves thinking, reflecting and planning throughout all lessons. An observation of previous years inquiries was that too much focus was put in to a specific area. This in turn frustrated us as there seemed to be no escaping the pattern of focusing below the chronological level and when shifts weren't obvious teaching self esteem suffered.

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