Running head : Use of Metacognition Title: Use of Metacognition in a Final Year High School Biology Class Author: L. N. Conner Affliliation: Monash University, Melbourne and Christchurch College of Education, New Zealand Address for Correspondence: Dr Lindsey Conner Christchurch College of Education P. O. Box 31 065 Christchurch 8030 Phone: 64 03 343 7780 X8463 Fax: 64 03 343 7784 E:miail: lindsey.conner@cce.ac.nz 1 Use of Metacognition in a Final-year High School Biology Class Abstract This paper reports on the levels of awareness and use of metacognitive strategies by 16 students in a final-year high school biology class in New Zealand. The aims of the intervention were to broaden students’ thinking about bioethical issues associated with cancer and to enhance students’ use of metacognition. Cues and prompts were used in this unit of work to help students use metacognitive strategies since students did not generally use metacognitive strategies spontaneously or were not self-starting in terms of evaluating their learning strategies. Scaffolding was mediated through the teacher modelling, questioning, cueing or prompting students to evaluate their learning. Three case studies illustrate how the learning strategies were used differentially. Most students were aware of strategies that could help them to learn more effectively. It was found that those students who not only knew but also used metacognitive strategies to plan, monitor and evaluate their work, produced essays of higher quality. Keywords: cueing, intentional learning, metacogniiton, self-evaluation 2 Metacognition Metacognition can involve a range of thinking processes, such as knowing about different ways to think, an awareness of how one thinks, and controlling one’s own thinking (Flavell, 1976). In order for people to use metacognition to enhance their learning, they need to be aware of their own learning tendencies as well as willing to be introspective (Borkowski, Carr, Rellinger, & Pressley, 1990; Paris, Lipson, & Wixson, 1983; White, 1998) and willing to be flexible in how they choose to learn so that they consider when it is appropriate to use particular strategies for learning (Siegler, 1990). Through a willingness to consider conditional aspects, it is more likely that students will develop abilities to evaluate, self-direct and self-regulate their learning (Boekaerts, 1997; Paris & Winograd, 1990; Winne, 1996) and hence become more intentional learners. Getting students to consider conditional aspects of their learning is an important part of learning and has not been emphasised in previous interventions that focussed on the promotion of metacognition. Previous studies in science education have tended to focus on the development of metacognition in general (Baird, 1986; Thomas and McRobbie, 2001; White and Gunstone, 1989) rather than on specific metacognitive strategies. Various studies have shown that learning can be enhanced if students use metacognitive processes, that is, if they know, monitor and control their own learning (White & Gunstone, 1989; Baird, 1998; Hacker, 1998). In general terms, good learners have been shown to be metacognitively adept and poor ones metacognitively deficient in how they tackle learning tasks in most subjects (Baird, 1992; Baird, 1992; Baird, 1998; Shuell, 1988; Wang & Peverly, 1986). However, these studies have not documented how students’ degree of awareness or use of metacognition links with their learning outcomes. 3 In this study, trends in the awareness and use of specific metacogntiive strategies have been linked with the students’ achievement in essays. It is likely that all learners are metacognitive to some extent (Gunstone,1994). The degree of awareness of metacognitive processing will influence the extent to which individuals preferentially deploy strategies. Without prompting, students intuitively interpret tasks according to what they think the task demands, which means that most students apply their knowledge of strategies as best they can. However, their strategy choice may or may not be task appropriate. If teachers want to help students to develop metacognition, then it is imperative that they actively encourage students to choose strategies for particular learning situations. This can be done through the direct teaching of learning strategies or by incorporating them more subtly into tasks that students are required to do (Derry, 1990). Teachers can assist students to be more metacognitive by giving examples, by cueing students through questioning, or providing prompts as part of the teaching materials (Beyer, 1997). Even though students may know learning strategies, they may not use them. This study is important because it reports on the knowledge and use of metacognitive strategies by 16 students in a final-year high school biology class in New Zealand, within the limitations of data collection. Cues and prompts for metacognition were used in a unit of work designed to broaden students’ thinking about bioethical issues associated with cancer and to enhance students’ use of metacognition. The Learning Context The unit of work was designed to address the achievement objective “investigate contemporary biological issues and make informed judgements on any social, ethical, or environmental implications” (Ministry of Education, 1994, p. 28). Students were required 4 to write an essay of about 500 words as a draft for the national University Bursary examination. The essay is worth 20% of the final eamination which is high stakes assessment. Therefore it was very important for students to develop not only knowledge of the causes, development and treatments of at least two types of cancer and an understanding of the bioethical implications of these, but also to develop skills in research and essay writing. Enquiry about issues requires students to articulate, question and evaluate their personal views about the issues. These skills are precisely what we expect students to develop when using metacognition for learning. Therefore this content context was considered to be very suitable for developing metacognition. The usual class teacher continued to teach the class during the intervention. Students were required to use inquiry to investigate the biological, social and ethical aspects of cancer, through the use of a range of classroom activities and independent research. A constructivist approach was used that explored students’ prior content and procedural knowledge and built on this through various activities so that students could reflect on what they needed to know and what they needed to do. Cueing students to identify prior knowledge and next steps for inquiry was used to scaffold knowledge of content, issues clarification, issues analysis, and knowledge of learning processes. The activities that “tapped into” students’ prior knowledge were a questionnaire, a group brainstorm activity, group discussions and journal writing. Small group work, scenarios, case studies and videos were used as stimulus activities for getting students to clarify and analyse their values. These activities broadened students views about the social and ethical issues (Author, 2000a). The focus here is on how cueing helped students in their learning processes. 5 The investigative skills and attitudes required of students are clearly outlined in the curriculum document (Ministry of Education, 1994, pp. 37–47). Students were expected to ask a series of related questions of themselves, their group and resource people, and then to refine these questions. Students also were expected to identify and process relevant information from a variety of sources and to evaluate the quality of information gathered and its degree of relevance. The teacher demonstrated a technique that he called “Trash and Treasure” to help students decide, based on their own questins, whether content was worth writing down or not. The students planned their individual research, chose the two types of cancer they wanted to investigate and derived key words and key questions that would drive their work. These were prompted by the teacher through questioning and cues in the form of checklists (Appendix 1) and bookmarks for aiding journal writing that were developed for this intervention. The bookmarks had the following prompts: Something I Learned Today . . . What does what I've found out today mean? It seems important to note . . . . . . I want to . . . . . . A question I have is . . . . . . I'm lost with . . . . . . I disagree with . . . . . . because . . . . . . What I need to do now is . . . . . . I can't decide if . . . . . . I'm stuck on . . . . . . I wonder . . . . . . What I need to do now is . . . . . . I’m wondering why . . . . . . One point of view is . . . . . . How . . . . . . 6 The students were encouraged to write questions into their journals as a guide for their research or to use the prompts to record their thinking. The journals were collected at the end of most sessions to give feedback on progress and “feed-forward” in the form of questions the students might consider. Students used a negotiated marking schedule to mark one another’s essays (Appendix 1). This enabled the sharing of ideas on what content could be included and how text could be structured. The teacher also marked the essays according to the same negotiated marking schedule. Research Methods The research methodology employed for the study and described in the remainder of this paper was based on an interpretative case study approach (Merriam, 1988). Sixteen students from the same class were interviewed in a semi-structured manner, before (iv1) and after the unit of work (iv2). Students’ journal entries (j) and essays (e) were also used to augment the interview analysis for determining the use of learning strategies. To gauge the extent to which the students’ accounts during the pre- and post-unit interviews credibly portrayed their experiences, classroom observations (co) were conducted with approximately three-quarters of the lessons as an attempt to satisfy Guba and Lincoln’s (1989) credibility criterion for judging the quality of research. Analysis Awareness and/or use of a strategy was recorded if students reported it in their pre- or post-unit interviews or if they showed that they had applied the strategy in their class work, journals or essays. Recording the awareness and use of metacogntitive strategies from multiple sources was used to triangulate the data sources. 7 Since producing an essay was the intended product outcome of the unit of work, students were grouped into the following categories according to the quality of their essays: “Invisible Product”, “Satisfactory Product” and “Quality Product”. The essay was marked out of a total of 40 marks (Appendix 1). Students in the “Invisible Product” category did not hand in a final essay. The Satisfactory and Quality Product categories were further subdivided into “Satisfactory Multiple” and “Quality Multiple” to indicate students who had produced more than one essay. To gain a clearer understanding of how the students used learning strategies, case studies were conducted for each of the 16 students in the study group. Examples from the data sources are presented below to illustrate students’ levels of awareness and use of metacognitive strategies. Students’ Awareness and Use of Metacognitive Strategies Degrees of Awareness and Use In Table 1, the students have been ranked according to their essay mark within each group. These results show that students who produced quality essays used metacognitive strategies more so than students who produced essays of lower quality. Although the extent of use of these strategies was not quantified, analysis of the classroom observations, interview comments and interpretations of the essay structure suggest that the extent to which students used planning, monitoring and self-questioning was also greater for those who produced the higher quality essays. Examples of how students planned by writing lists or paragraph headings, decided about the logical order in which to write the content, reflected on what they needed to find out or do, and used general outlining of strategies are given below. As a group the “Quality Product” category also showed a greater amount of reflective thinking when self-reporting and asked more questions in their journals (Table 1). 8 [Take in Table 1 about here] Table 1 shows whether the 16 students were aware of and/or made use of metacognitive strategies. Awareness is linked to knowing the strategies whereas control is linked to the deliberate use of these (the awareness/use columns in the table). The strategies targeted revealed whether students planned, monitored by checking on progress, used information from peer-checking or set priorities, asked evaluative questions and consciously made decisions about the learning process. Although selfquestioning can be both a planning and a monitoring strategy, it is highlighted in the table as a separate category specifically to illustrate the number of questions written in the student journals. Examples of Degrees of Awareness This section provides examples of how three students differed in their degrees of awareness and use of strategies. These differences parallel the trends in the quality of the essays. Mitchel Mitchel wrote an essay which was categorised as “satisfactory”. His level of awareness of his learning processes was generalised. For example, in the pre-unit interview he stated very broadly: Mitchel (iv1): I have a plan on what I am going to use on an assignment. He did not give specific details about how he could plan. After completion of the unit he explained how he had discriminated between relevant and irrelevant information and organised the information into sections. 9 Mitchel (iv2): I did that, just, jotting down everything that is relevant and working out what I needed and what I didn’t and putting it into sections. Researcher: So you organised it into sections. How did you decide what sections to have? Mitchel : Sort of what went with what, just depending. Like I did the breast cancer with mammograms, and that comes into, sort of, treatment and causes. Researcher: So how did you plan your essay, or did you plan it? Mitchel : I just wrote it. So although Mitchel knew to plan according to sections, he did not actually do this which is evidence of a lack of control of the planning process. There was some evidence that Mitchel monitored his progress in his learning journal. Mitchel (j): Need more info on specific types of cancer, treatments, causes, effects. Practice essay writing. Still having problems with wording and making it flow. Although he had identified practising writing as a useful strategy, it would only have been helpful if he had also addressed getting more information and linking the ideas so that they flowed. He also stated during class, after getting a draft back from the teacher, that he needed to make stronger connections between his ideas. Researcher : Will you change what you’ve written? Mitchel (co): I’ll need to link my ideas more. Although he was aware of the need to link ideas more, he did not know of ways to do this or make his essay flow more coherently. He considered the checklist for the essay provided by the teacher to be useful. Learning organisational structures was an area that Mitchel had identified as “needing help with”. 10 Mitchel (iv2): Once he [the teacher] put it up on the board . . . we went over what had to be in there, and [then] I worked out what I didn’t have in there, which helped. This statement shows that he did consider whether there were gaps in his essay. One characteristic where he differed from others in the “Satisfactory Product” category was that he strategically sought feedback from the teacher. The classroom observation notes indicate that he did this several times when writing his pre-write paragraph and essay in class time. His seeking of feedback suggests that he recognised his need for scaffolding to help him identify where he needed to make changes. He preferred to work with others rather than independently, and he set up a buddy/study arrangement with another student out of school time on his own accord. Getting feedback from someone else was his way of external monitoring. Charlie Charlie wrote a “quality” essay. He knew from previous learning experiences that when he planned he was more successful. Charlie (iv2): [If] you can have a plan and do exactly what you have been asked, you will definitely get high marks. Among the students, Charlie probably had the most sophisticated awareness of the ways he went about his learning and consciously thought about how he should proceed. For example, he described how he planned his essay. Charlie (iv2): I can show you. [He then proceeded to write on the researcher’s pad paper.] Like, in my essay, this is just the way it works out in my head; you have a flow chart, the opening, and in that you introduce the question, and then you have main point number one, and I think on my one it was about 11 carcinogens. You talk about cancer, and then there are two types of carcinogens, and I put, for example, the first type of carcinogen, and then I talked about lung cancerthat was my example . . . and then the other question was talking about the social and ethical. I just stuffed them all [social and ethical issues] in one paragraph, I think, and then a conclusion. So that is why I don’t plan it [on paper]; I just remember it. His statement also suggests that a part of his planning was to make connections between what he thought was required in tasks with what he did. In other words he evaluated what he needed to do. This is an example of when planning becomes related to monitoring. Charlie commented about the discriminatory strategy called “Trash and Treasure” that the teacher demonstrated for evaluating what notes to write. Chris : Trash and treasure because is shows that out of two pages, and it may have been more, and out of that I only really found a few lines that I really need. Researcher: So how was that useful? Chris : Because all that other stuff [information on the overhead transparency] was just trash I thought, ‘cos I only really needed to know three sentences and other people were writing whole pages of notes, and I wrote three sentences and I think I probably learnt just as much as them. Researcher: So did you use that technique when you were taking notes then later on? Chris : Yes. This last statement suggests he transferred the technique and applied it to his reading of resource materials when gathering information for his essay. This was the intended ourtcome of the teaching of “Trash and Treasure”. 12 Charlie also asked himself many questions that motivated him to find out the answers. Researcher : Just thinking about the whole thing to do with cancer and ethics and social stuff, can you think of things that made you ask yourself some questions about itthings that you haven’t thought of before? Charlie (iv2): Yes it did. I had so many questions about cancer. I found them out as well. I found out about telemeres. I thought they were really interesting, and I learnt one of my questions that I wanted to know was, if plant cells get cancer as well, and I found out that they do, that it doesn’t usually kill plants, and I think insects can induce cancer in a plant. I thought that was quite strange. In his essay, Charlie linked the information that telemeres were like timekeepers in a cell and that their formation limits a cell’s life span to the concept of immortality. Charlie (e): Biological conflicts arise in all facets of the disease. For instance, some biologists believe that cancer is a natural aspect of all animals [because telemeres form spontaneously] and that finding a cure is futile. Other biologists believe that resourcing cancer research could lead to the key to immortality. Cancer could ironically be the key to immortality! Of all the students, Charlie had the highest number of separate entries in his learning journal (nine) (as evidenced from dates or slightly different writing styles), and he wrote five questions in his journal. Charlie showed the most striking examples, compared with other students, of integrating and extending his knowledge through self-questioning. He not only considered the basic content but also questioned how the information he found out applied to wider abstract biological ideas as indicated by his journal entries below. Charlie (j): I would like to know more about cancer in plant cells - do they get cancer? If so, do they get it as frequently as in humans? Do all carcinogens have the same sort of affect on plant cells as 13 they do on humans? Doesn’t this cancer information go against our natural selection theory? i.e. wouldn’t mutations become cancerous and die? These are very thoughtful and searching questions. Charlie knew that using the strategies actually helped him. This knowledge was linked to his success in tasks where he had consciously been aware of using them previously in geography. For example he commented on the use of the Mnemonic G.E.E. G.E.E. which stands for Generalisation, Explanation, Example as a way of structuring paragraphs. Researcher: How did you structure your essay? Charlie: Just that generalisation, explanation, example. Researcher: And you know that from? Charlie : Geography. Other students (Samantha, Ann, Niome, Lois, Charlie, Liz and Marrianne) also reported that previously they had learnd about how to structure paragraphs in essays from either history or geography. Charlie reflected on how he could improve his essay through practice and how he would making greater use of the essay marking schedule. 14 Researcher: If you did this whole unit and you knew you had to write an essay again, what would you do differently? Charlie: I think I would have a look at a lot more essays that other people wrote, especially model essays and I would do a lot more practice, a lot more draft work and I would try to get a perfect essay, I think that had no faults. Researcher: How would you do that? Charlie: By a lot of practice. Researcher: What would you do to the essay to get it to be perfect? Charlie: You just get the marking schedules and you check it over exactly what you have missed out and then include it. The focus of his planning and monitoring was to maximise the efficiency of his time. He always worked consistently well in class, and separated himself from others when he wanted to work independently. Charlie (iv1): Usually I find if I cannot understand something, I will try and find it out by myself because if someone tells me I do not think I will really understand so I try and really research it and try and understand. This was another example of how he applied his awareness, knowledge and use of learning strategies effectively. Liz Liz was a relatively able student who was accustomed to success. She contributed well during class discussions due to her confidence and outgoing personality. She was prepared to take risks by asking questions of the teacher and her peers, to increase her understanding. Despite her tendency to distract other students sitting next to her by 15 making comments, laughing or idle chatter, her awareness and control of her own learning were relatively high compared with other students in the class. For example she was aware that she needed help in structuring essays and that this was what made essay writing difficult for her. Liz (iv2): I am not good at writing essays but I’ve got better as I have had to write essays in the last few weeks. [Previously] I have just written, not with any formula. I need help with the formula [structure] of essays. And I have to unpack the question, which I find hard usually unless I’m told exactly what to unpack. Her final marks for essay structure (essay 1:10/10 and essay 2: 7/10) indicate that she had developed these skills by the time she had written her essays. Although Liz considered that the learning journal was not useful, she wrote more questions in her journal than any other student (Table 1). She also answered some of her own questions in her journal and clarified some questions with the teacher. For example, some of the questions she asked were: Liz (j): Can you get cancer anywhere, or just anywhere you have fat or muscle or blood? Then an answer to this question appeared in one of her essays. Liz (e): Because cells are everywhere in the body, cancers can form anywhere. This implies that prior to her inquiry, she was not aware that cancer formed in any type of cell, but was aware of this when she wrote her essay. Another example was the sequence of questions about treatments in her journal. 16 Liz (j): What methods do people seem to prefer to use when they’ve found out they have cancer? Treatment, chemical, radiation, positive thinking, god, nature, surgery? In her essay she mentioned gene therapy, radiation therapy, chemotherapy, surgery and genetic screening for hereditary types of cancer. She checked her essays to make sure the content was relevant to the essay question. Liz (iv2): I just read it and picked out bits that went for one of the headings of the questions. You know, what your essay lacked and what to put in next time. I didn’t have time to do more than one essay, but I had lots of other things to do at this time of the year. It might’ve been better at a different time of year. Liz produced her second essay after this comment, perhaps after realising that there might be a benefit in writing more than one essay. When asked what she would do differently if she was able to repeat this unit of work she replied: Liz (iv2): I’d get everything done a lot quicker. Researcher: What do you think we could do to help with that? Liz: I’ve got to organise my time better. If it [the essay] was part of internal assessment, it would be more motivating [there would be more incentive to complete it]. In this last comment, Liz was referring to the fact that she spent a lot of time in class talking and not being “on task”. She was also inferring that had the essay been part of the internal assessment component of the course, the external motivation for finishing the essay would have been more immediate. As it was, students finished school in mid November, sat the national external examination in late November and did not get their grades back until January. 17 Using reflective and critical thinking processes to make decisions about what to include in her essay helped her greatly. For example, during researching and note making she was aware that discriminating information and choosing what notes were appropriate, was important. Liz (iv2): I was kind of already aware of that [the “Trash and Treasure” technique] Sometimes I blindly copy. Sometimes it’s better when people dictate notes but when you have them on an overhead, you tend to copy everything. He’s told us during the year not to write down everything, and gives us a choice. This comment was confirmation of the teacher’s instruction for students to choose what they should write down for their notes. As noted (Table 1), Liz asked more questions than any other student in her journal, used the questions to help her research information and incorporated some of the ideas from them into her essay. She actively and intentionally sought information. The way she used monitoring strategies allowed her to identify what information she needed and what strategies she needed to improve her essay structure and its impact. This resulted in her obtaining good marks for the structur of her essays. Use of Metacognition The students in this study were in their final year of high school and therefore they all used metacognition to some extent. However, the level of awareness of their thinking and strategies for learning varied considerably. The teacher had identified the need for scaffolding to help them consider what choices they had for approaching their learning. Therefore he modelled ways to discrimiate useful and unuseful information (“Trash and Treasure” technique), plan and check work. He also prompted students to ask themselves 18 questions about what they needed to know or do. Written cues and prompts were given as a checklist for planning, researching and writing essays and journal bookmarks contained prompt statements. Certainly, for those students who used them, the checklists and prompter bookmarks helped to instigate self-questioning. Some students also made use of mnemonics to evaluate the structure of paragraphs. Two students in the “Invisible Product” category did not use their journals at all. Other students only tended to write in them when they were reminded and when given time at the end of the lesson to do so. Despite this, many students used their journals to write plans, select information to support their ideas, apply personal organisation, consider alternatives and elaborate on ideas. The students who wrote more questions in their journals achieved higher marks in their essays. This is not implying causality, but indicates a definite trend here. The data presented here indicate that metacognitive strategies were employed differentially by the students (Table 1). Although most students could articulate what might be done for more effective learning, some were not sufficiently motivated to use these strategies. This may have been because they had not experienced the benefit of using them previously. It may also be linked to a view that learning is about finding the “right” answers or not knowing that they had a choice in how they tackled tasks. The tentative response by some students is not surprising since, for some of them, it was the first time they had experienced strategies for monitoring their learning in this way. This applied particularly to the use of the learning journals. Loughran and Derry (1997) also observed resistance to self-evaluation or monitoring in a group of year 9 science students because it was unfamiliar to them. In this intervention beliefs about what learning involves needed to be challenged more.To allow more students to take more 19 responsibility for learning decisions, attention could have be given to explicitly discussing what was expected. Mitchel considered that because his prior knowledge was low at the beginning of the unit, any help he had gained benefited his essay writing. Mitchel had realised that he needed help with structuring his work. Due to his lack of confidence in this area, he chose to seek help from others to monitor his work. In contrast, Liz and Charlie were more self-directed and asked themselves questions to direct their work as shown by some of the extracts from their journals. Those students who had a more in-depth awareness of their learning strengths and weaknesses were more likely to develop and use strategies for addressing their weaknesses. For example Mitchel described his learning strategies in broad terms whereas Charlie could describe details of how he used strategies. All students probably need guidance in identifying what they need to know. If students lack knowledge of their own learning or lack an understanding of how they come to know, they can hardly be expected to be reflective in terms of utilising this knowledge to their own advantage by choosing or developing learning strategies (National Research Council, 1999). Even though students may be aware of what they can do for more effective learning, such as using metacognition, they may not be motivated or willing to expend the extra effort required. There is some evidence that use of strategies is associated with a belief in the value of the task and students’ belief in their own ability (Stipeck & Weisz, 1981; Thomas, 1999; Thomas & McRobbie, 2001). Previous success with using the strategies is likely to influence their perceptions of the fruitfulness of using them (Siegler, 1990). This could explain the differences in use of metacognitive strategies in Table 1. Students in the 20 lower half of the table had all experienced using mnemonics or a formalised way of reviewing paragraph writing previously. They were therefore able to recall these experiences when questioned by the teacher and thereby reflect on the usefullness of applying mnemonics. Conclusion This study has shown that the students who used metacognitive strategies to plan and monitor their work produced essays of higher quality. There is a trend that indicates that those students who used a greater degree of self-questioning in their learning journals, achieved higher essay marks. 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Hillsdale, NJ: Lawrence Erlbaum. 25 Table 1: Students’ knowledge and use of metacognitive strategies Group Student Planning Monitoring Selfquestioning Awareness Use Awareness Daniel Invisible Tulane Product Sally Mary Kay Mitchel Satisfactory Vincy Product Awar Samantha Ann Quality Product Use Awareness No. questions in journ al 0 0 3 4 2 2 3 2 4 3 Niome 10 Lois 5 Charlie 5 Quality Terri 4 Multiple Liz 14 Marianne 5 Satisfactory Multiple 26 Appendix 1 Cancer Essay Guide and Marking Schedule (This marking schedule was negotiated by the teacher with the students and used for peer marking, teacher marking and assessment by the researcher) 1994 University Bursary question: Discuss why the incidence and control of cancer is a current issue. Include comments on the biological, social and ethical issues involved. Student: Marks allocated Why is it a contemporary ? Why is it an issue? Biological aspects Social aspects Ethical aspects Mark for your essay 2 2 4 3 3 Examples of cancer Causes Effects Treatments Ability to write an essay Logical Clear Appropriate terms Spelling Script readable Paragraphs All parts addressed Overall impact Comments: 4 for each eg 2 for each eg. 2 for each eg. 2 2 1 1 1 1 1 1 27