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14:Tdce,はじめまして!ご質問にお答えさせていただきます、東京大学理科一類の者です! 京都大学医学部志望ということので数学は全問記述ですよね。志望校が記述式の問題の場合は一般的には記述になれるために普段から練習していくべきではあります。 ただ、毎回毎回記述していては時間がかかってしまい、色々な問題に触れていきたい今の時期では焦ってしまいますよね。 そこで私が行っていた記述対策の勉強法をご紹介しますね! まず第一に、余程直感的な解き方をしていない限りは記述を書くのには苦労しないはずです。苦労するとすれば、定理や独特の記述形式が定まっている場合です。例えば、「計算式は分かるのにこの定理の名前なんだっけ?」、「メネラウスだったか、チェバだったか?(現在の私です、情けない笑)」や独特の記述形式としては軌跡と領域の問題の最後の定型文(一方逆にこの領域内のすべての点はこれらの条件を満たす)等です。これらは覚えておくしかないので、そういうものは自分で洗い出して整理しておくと良いでしょう。 次になぜ記述形式に慣れておく必要があるのかといいますと、記述をすると圧倒的に時間が足りないためです。たいていの場合、大学入試の数学の問題は一題20分ですので、記述なしの計算用紙などでは最低15分以内に解き切れなければ間に合いません。なので私は普段問題を1題解く際は、ミニストップウォッチで15分設定して、それ以内に記述なしで解ききることを目標にしていました。 また、どの計算式や図、グラフを書くのかを常にイメージしながら普段から解くようにするとなおよいでしょう。参考書の解説などみる際は、どの計算式や図、グラフを書かれているのかを意識してみてみるといいと思います! そのほかには、文字の定義や条件を忘れずに記載するなどが注意事項としてあるかと思います。 以上のようにすれば記述対策としては問題ないかと思います! 志望校の問題を解く際は本番をイメージして、時間を計って記述式で解いてみて、時間が足りなかったのならその要因を自己分析するべきです。 私は志望校以外の問題でも2週間に一度の頻度で、適当に6題参考書から選び、東大の解答用紙を印刷して、厳しめに一題15分の90分を時間制限として記述式テストを行ったりしていました。 各大学の記述用の解答用紙はネットなどで調べるとでてきますので、モチベーションアップのためにも有効な手段だと思いますので是非! 最後に、記述式のいい点は部分点が狙えるところです。なので模試の解説などを見る際は、どういった部分が書けていれば部分点がもらえるのかを意識して見ることで、解ききることができなくても数点をもぎとることができるようになると思います! 受験本番では数点が命取りですので頑張りましょう。 応援していますね!何か他に質問があれば何なりとおっしゃってください!15:T12ab,はじめまして! 主に数学を中心に答えていけたらと思います。もちろん、ほかの理系教科にも対応するので、最後まで読んで見てほしいです。 とりあえず質問に則してお答えします。 ①について。もし十分なスペースがない場合、私は思考のスペースと計算のスペースを分けてやります。前者は主に今何をやっているかを記述します。この式は何の式か、今までのことから何が言えるかなどを順番に書いていきます。思考のスペースは問題文の近くの方がいいです。計算のスペースは最悪別紙でも構わないです。 ②について。縦線を引いてスペースを無駄にしないように(キツキツになるように)します。式が長くなると横に伸びてその周辺のスペースが無駄になります。少し見づらいですが、式を改行すれば全体として余白を効率的に使えます。あとは、月並みですが、小さい字を書き慣れておくというのも大切です。 また、大事なことを囲んでいるとのことですが、きっちり書いておけばそんな必要もなくなります。せいぜいアンダーラインぐらいでしょうか。 ③については、②を見てくれればわかるかと思います。綺麗な長方形のスペースがなくても線を引いて上手くスペースを活用しましょう。 次に、上の質問に付随してやってはいけないことの私見を述べておきます。 1つ目は、頭の中だけでやるとこです。頭の中では間違いを視覚化出来ないので、もし途中で間違えるとミスした時最初からやり直さないと行けなくなります。間違いに気付きにくくなるという意味で、ミスも多くなります。そもそも途中式を書く理由は、思考を整理するのもありますが、何より間違いを見つけやすくするためもあります。頭でやる領域が多くなればなるほど、ミスが起こりやすくかつ見つけにくくなります。確かに記述は書く時間がかかりますが、後々のリスクを考えると費用対効果は高いです。 2つ目は、ゆうさんも言及していますが、消すことです。もちろん書き間違えは消していいですが、間違いに気づいたから全て消す、スペースがないから消すといったことはやめた方がいいです。上にも書いたように、計算途中の記述は間違いを特定しやすくしてくれます。なので、どこまで合っていて、どこから間違えているのか分かるように記述すべきです(これは下の話にも繋がってきます)。せっかく途中まであっていても面倒だからと言って全部消してしまったら、それこそ時間のロスになります。 3つ目は、殴り書きです。自分が識別できないような字で書いては、意味がありません。そんなことになるはずがないと思うかもしれませんが、たとえばaとd、4と6を間違えるといった小さいけれど致命的なミスは意外と起こります。漢字ドリルのように一字一字丁寧に書く必要はありませんが、読み間違いの起こらない程度に丁寧に書きましょう。そんなことをしていては時間が無くなると言うならば、①の思考スペースだけ丁寧に書くといった緩急をつけましょう。 以上3つ目ですが、どれも記述を記述としての意味を失わせる行為です。気をつけましょう。 最後に、焦ってせっかくの記述がぐちゃぐちゃになってしまうとありますが、上のことを守ればある程度解消されると思います。慣れないうちは、こんなに悠長に記述していては時間がもったいないと思ってしまいますが、一つ一つの段階を丁寧に確実に行えばやり直しやパニくることはなくなるので、逆に時間に余裕が生まれます。なので、慣れないうちはスペースの使い方を有効活用する習慣をつけましょう。どんなにスペースがあっても上のようにコンパクトにかつ必要最低限を丁寧に書くようにしましょう。 長々書きましたが、全て鵜呑みにせずに自分なりに試行錯誤してみてください。何よりも大切なのは、自分が今まで積み重ねた習慣を本番でもできるように精査することです。 まだまだ情勢が落ち着かない今日この頃ですが、振り回されずに頑張ってください!2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":["「","計算用紙","」の検索結果"]}],["$","div",null,{"className":"border-b-2 mb-2"}],["$","div",null,{"className":"mb-4","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/NBQqxBmbVJhlIst5","children":["$","div",null,{"className":"flex items-center 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算ミス"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは~(*´ω`*)\n慶應義塾大学経済学部のCanaryです!\n\n計算ミスを防ぐ方法は\n(1)しやすいミスを意識する\n(2)こまめに検算をする\nこの2つが特に大切です!\n最後に(おまけ)もつけました~\n\n(1)しやすいミスを意識する\nそれぞれの人にとって、しやすいミスしにくいミスはあります。\n例えば、字が汚い人で6と0を読み間違える。cosxを微分した時マイナスを忘れる。割り算でよく間違える。などなど色々あります。\n適当な裏紙を1枚準備して、計算ミスをしたら、そのミスの内容を裏紙に書いていってください。そうすると、自分が良く計算ミスをする箇所が可視化されるはずです!これ以降は、そのよくやるミスを意識しながら演習するようにしましょう!\n\n(2)こまめな検算をする\n1は計算ミスの発生を防ぐものでしたが、こちらは発生した計算ミスを修正するための方法です!\n例えば、4×7×25×8を計算して、560と書いてしまったとき、元の素因数だけに注目すると、2^5×5^2×7なので、末尾は0が2つ並ぶはずです。560と計算したらすぐその先に進むのではなく、ちょっと立ち止まって確認するだけで、計算ミスに気が付き修正することができます!\n\n(おまけ)計算を簡単にする\n4×7×25×8を計算するときに、\n4×7×25×8=28×25×8=700×8=5600\nと計算していませんか?\nこれは、4と25が見えた瞬間に4×25を計算してしまうと、\n7×8×100になり、あとは九九の計算と末尾に00をつけるだけなので、計算ミスをしにくい解き方になります!\nさらにさらに、最初はこの方法で解いてから、その直後に、4×7×25×8=28×25×8=700×8=5600で計算することで、検算することもできます!\n計算順序を工夫したり、計算順序を2パターンで解くのはミスを防ぐためにオススメです!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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mb-1","children":"はじめまして!こんにちは。\n\n大阪大学人間科学部に所属している者です。\n\n私も現役時代に計算ミスに苦しんだ経験があるので、お力になれたらいいなと思い回答させていただきます。\n\nまず、中学入試の問題をやることはあまりおすすめしません。\n計算問題単体で出題されることはまずないので、中学入試の問題を解くことよりも、大学受験レベルの問題を時間内に正確に解くスピードを上げていくのが得策だと思います。\n\nたとえば大阪大学の文系数学は見直しの時間を含め一問におよそ30分かけることができます。\nこの場合、練習の段階で一問ずつ、20分で正確に解き切る練習をしておくとよいです。\n\n時間が無限にあれば計算ミスは必ず見つけることができます。\nしかし、実際は、時間が有限である中で解法を導き出し、計算をミスなく終えなければなりません。\n\nですから、大学受験のレベルの問題で計算ミスをなくしていくことが一番の近道であると思います。\n\nこれは共通テストの数学にもあてはまります。\n解法を素早く思いつけば、そのぶん計算に時間を使いミスなく解くことができます。\n\n数学は\n①解法を思いつくこと\n②計算できること\nの二つが組み合わさって解くことができるものだということを知っておいてください。\n\n\n大阪大学文系数学は近年易化しています。\n解法は多くの人が思いつきやすく、計算力勝負になることも考えられます。\n\nそれでもやはり、解法を思いつくスピードが速ければ速いほど、落ち着いて焦らず計算に臨めると思うので、計算ばかりでなく解法を考える練習も並行してやるといいと思います。\n\n長くなってしまいましたが、質問者様の計算ミスへの悩みが解消されることを願っています。\n\nもし疑問点や追加で聞きたいこと等ございましたらいつでもご連絡ください!\n\nここまで読んでくださりありがとうございました。\n\n\n\n\n大阪大学人間科学部 のぞみ"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算力を上げる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"たまに計算ミスを対策もせず、ケアレスミスとして片付けている人を見かけますがあなたはきちんと問題視しているのが素晴らしい!それだけで一歩リードです!👌\n\nあなたの考えている通り、絶対に計算ミスを甘くみてはいけません!!初期の計算ミスによって大問ごっそり点がなくなることもあります。\n\nではどうやって計算ミスを減らしていくのかについてですが、\n\nまず、自分がどういった箇所で計算ミスをしているのか細かく分析してみてください!!\n\n小数点のある計算に弱いのか、\n分母の割り算がある計算で間違えやすいのか、\n引き算で上の位を引き忘れやすいのか、\n\n色々あると思います。\nその上で対策をたてましょう!\n\n私も受験生当時、かなり計算ミスで痛い思いをしていたので、自分がミスした式をまとめたノートを一冊作って、同じ過ちを繰り返さないよう努めていました。ちなみに私は分母の割り算があるとめちゃくちゃミスりやすかったので赤のグルグルで囲って自分に注意喚起して、分母の割り算が出てきたら真っ先に逆数の掛け算に直してました!!それをし始めてかなりミスが減り、計算も早くなったように思います😄\n\nまた、複雑な計算を眠い時に惰性で解いたりすると高確率でどこかでミスしてしまうので、数学の過去問を解くのは頭のすっきりしている午前中に行ってました。(頭の働きやすい時間は各人によって違うと思うので参考までに!)\n\nまた、これは補足ですが\n化学や物理では、単位をしっかりと書くことで立式段階のミスをかなり減らせます!!\n\nもし、理科系の科目でも悩んでいるようなら、\n\n何を求めるのか(単位確認)\n→立式(単位の整合性確認)\n\nをすると、かなりミスが減るので是非是非実践してみてくださいね!\n\n頑張れ〜!!💪💪"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算力を上げる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私も計算ミスの多いタイプでした。\n\n普段からどこでミスしているのか分析すれば、計算中あるいは見直し中に、そこを重点的にチェックすればつまらないミスは減ってくると思います。例えばsinとcosの計算で間違えることが多いのなら、まずはそこを計算ミスしていないか、じっくり見直してみるのです。\n\nですが、計算ミスってどんな分野でも必ず起こってしまうものですよね。いくら自分のミスを分析してもその傾向が分からないことはあると思います。\n\nミスをしないようにするには、とにかく繰り返し練習するのが、一番確実な方法です。ミスというのは、基本的には経験値の浅さから来るものです。たくさん問題演習を積んでいけば、徐々にミスは減ってくると思います。\n問題演習を重ねれば、計算ミスが減るだけでなく、スピードも身につきますし、その分焦りも減って、確実性も増すと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 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mb-1","children":"こんにちは。ご相談ありがとうございます。\n\nまず、計算が遅いのには二つの原因が考えられると思います。ひとつは計算で使えるテクニックを使っていない、もうひとつは普段の勉強で時間的な制約をつけた練習ができていないということです。\n\nまず、前者の計算のテクニックについてですが、私は「合格る計算」という参考書をやってみることをお勧めします。この参考書には典型的な計算問題について、どこを暗算ですべきか、どのように考えて頭の中で処理していけば良いかなどが丁寧に書かれており、それぞれの解説の後に練習問題がついています。計算を愚直にやっていた人からすると、計算について学ぶことが多い参考書です。ただ、計算は早く身に着けたいものでありながらこの参考書は少々分量が多いので、苦手な分野だけやるなど少し工夫が必要になります。\n\n次に、後者の普段の練習に関してですが、これは普段の勉強に時間制限付きのものを入れてみてください。例えば、わたしは普段は2次対策メインで時間に追われることが少なかったので、毎朝センターの過去問の大問1つを10分前後で解く、という訓練をしていました。やはり時間に追われる経験をしていないと、計算のスピードも落ちていきますし、問題の取捨選択のスキルも落ちていきます。1日の数学の勉強すべてに時間制限をつける必要はないので、2日に1回くらいは時間に追われる勉強をしてみましょう。また、この時に自分に妥協して余裕のある時間設定をしないように気を付けてください。普段かかる時間の80~90%でチャレンジするのが一つの目安です。\n\nここまで書いてきましたが、いかがでしょうか。3年生で模試が思うように解けないとなると焦ることも多いかもしれませんが、まだまだ間に合いますよ。少し勉強を工夫して、問題の解消に取り組んでみてください!応援しています~"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算練習した方がいい分野"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。勉強お疲れ様です。\n「計算練習」をひたすらにやれ!という分野であれば、間違いなく微分積分です。ですが、私が次に推したいのは実は「複素平面」の練習なのです…。\n\n微分積分について\n理系の受験数学で、出ないことはない!と言い張れるくらいにはめっちゃ出ます。ほんとうに。\n必ず出る分野ならば、そこは「早く解く」ことができて、さらに「確実に正解する」ことができることが大事ですよね。「早く解く」、「確実に正解する」ともなれば、それに必要なのは計算練習です。微分、積分の練習については以下に記す通りにやるのがオススメです。\n\n微分の練習\n①時間制限を設けて、スラスラ微分する。\n(現時点の自分の全速力でかかった時間×0.8で設定してみてください。間に合うまで頑張りましょう。)\n②微分後(導関数)の形を覚えてしまう。\n(積分でめっちゃ役に立つんです。「微分形の接触(f(g)g'の形)」の際に、「これ、gの微分形じゃん!」ってすぐに見抜けるようになるのです。)\n\n積分の練習\n☆手を動かす前に頭で考える。 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