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19: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":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=fktS23MBTqPwDZPuCxjx","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"計算ミスを無くすには？"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",23,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"8/11 2:20"}]]}],["$","div",null,{"className":"coach-mark 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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":[["$","div",null,{"className":"mb-1","children":"問題の難易度が簡単になるほど凡ミスを連発してしまう"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして。rockyyyと申します。\n結論から言うと、反省はするべきですが、そこまで気にしなくて良いのではないかと思います。進研記述模試は、比較的基礎的な内容を問うてくる問題がほとんどであると思うので、人によって得意不得意があると思います。僕も難しい模試は取れるのに、進研模試だと思うように点数が取れないってなっていたこともありました。\n\nそのとき、僕の場合は油断をしていました。問題を見て「あ、この問題見たことある！もう解き方がイメージできたぞ！」となってしまい、その道筋の途中でよく油断からくる計算間違いをしていました。「この問題完答できたのに！」となって悔しい思いをしたことがありました。\n\nそこで、僕は計算途中でこまめにこの値がおかしくないかなどの検算をするようにしました。また、それまでの計算をさらっと見直したりしました。そうすると、両辺この値で割ったのにこの項だけ割ってなかったなどのしょうもない凡ミスに気づけたりしました。また、数学ではありませんが物理においては「この値が負になることはあり得ない」などと思うことで間違いを見つけることができたりしました。\n\nなので、理系科目は特に、こう言った検算をこまめに入れてみるとどうでしょうか。駿台模試などでは高得点を取れているので、きっとそれくらいの時間は取れるはずです。一度試してみてください。\n\nそしてもう１つ大事なことが、その模試に対する気持ちの持ち方です。「この模試は簡単だから」などと思っていると痛い目に遭います。本番ではこう言った計算ミスなどの凡ミスが命取りになりますので、油断せずにいきましょう。自分でも慎重すぎるんじゃないかって思うくらい丁寧に回答することで凡ミスはきっと減ります。僕はそれで高校2年生の頃に数学を100点取ることができました。何にせよ、油断は大敵です。受験頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"京大実戦 ぜんぜんとれへんかった"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"模試でよかったねー！\nこの経験ってすごい響くと思うんだ。\n\nおそらくもう以降の試験では必ず問題の読み間違えはしないはず。\nだからその点で京大諦めるのって愚かだと思うな。失敗は成功に活かせばいいんだから。\n\n\nまた模試では計算ミスは減点になりうるけど、京大の入試では減点はあまり大きくない。習ってる数学教授が漏らしてたけど、人間計算ミスは起こりうるものとして考えるべきで入試でも実際解き方の論理が一貫していれば計算ミスはごく僅かな減点にしかならないって。\n\n一過性の感情で京大諦めるのは違うと思うな。今まで何のために頑張ってきたのかな？\n\n落ち込んじゃう気持ちも分かりますが、現役でC判定出そうなら合格の可能性かなりあります。このままいけば合格できます。\n\n最後に全く関係ないですが、自分も岐阜県出身です！笑\n同じ岐阜県民として京大で待ってます！！\n\n\n頑張れー！！！！！"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"微積計算をどれ程できればいいのか。"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートの計算問題が全て出来れば十分でしょう。\nmarchレベルは、正直知りません。\n過去問やればわかると思いますが、それを知ってもさほど意味はないと思います。\n\n質問者様の到達したい目標レベルが早慶、東工大なのですよね。\nそのレベル目指してファイトです。\n秋に模試の判定がヤバいなら、その時に考え直しましょう。\n\nあと、数Ⅱまでの微積の正確さやスピードを試すには、センターの過去問がもってこいです。\n\n数Ⅲの計算練習にもっと薄くて取り組みやすいテキストを求めるなら、駿台が出している「数学Ⅲ カルキュール」はどうでしょうか。\nこれが簡単だと感じるなら、相当基礎は身についているはずなので、実践的な演習を通じて補完していけばいいでしょう。"}],["$","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 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算スピード"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。ご相談ありがとうございます。\n\nまず、計算が遅いのには二つの原因が考えられると思います。ひとつは計算で使えるテクニックを使っていない、もうひとつは普段の勉強で時間的な制約をつけた練習ができていないということです。\n\nまず、前者の計算のテクニックについてですが、私は「合格る計算」という参考書をやってみることをお勧めします。この参考書には典型的な計算問題について、どこを暗算ですべきか、どのように考えて頭の中で処理していけば良いかなどが丁寧に書かれており、それぞれの解説の後に練習問題がついています。計算を愚直にやっていた人からすると、計算について学ぶことが多い参考書です。ただ、計算は早く身に着けたいものでありながらこの参考書は少々分量が多いので、苦手な分野だけやるなど少し工夫が必要になります。\n\n次に、後者の普段の練習に関してですが、これは普段の勉強に時間制限付きのものを入れてみてください。例えば、わたしは普段は２次対策メインで時間に追われることが少なかったので、毎朝センターの過去問の大問１つを１０分前後で解く、という訓練をしていました。やはり時間に追われる経験をしていないと、計算のスピードも落ちていきますし、問題の取捨選択のスキルも落ちていきます。１日の数学の勉強すべてに時間制限をつける必要はないので、２日に１回くらいは時間に追われる勉強をしてみましょう。また、この時に自分に妥協して余裕のある時間設定をしないように気を付けてください。普段かかる時間の80~90%でチャレンジするのが一つの目安です。\n\nここまで書いてきましたが、いかがでしょうか。３年生で模試が思うように解けないとなると焦ることも多いかもしれませんが、まだまだ間に合いますよ。少し勉強を工夫して、問題の解消に取り組んでみてください！応援しています～"}],["$","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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